### Properties of the number 960:

960 = 2^{6}× 3 × 5 is the 797

^{th}composite number and is not squarefree.

960 has 3 distinct prime factors, 28 divisors, 7 antidivisors and 256 totatives.

960 has an emirpimes digit sum 15 in base 10.

960 has a triangular digit sum 15 in base 10.

960 = 6

^{2}+ … + 14

^{2}is the sum of at least 2 consecutive positive squares in 1 way.

960 is the difference of 2 nonnegative squares in 10 ways.

960 is the difference of 2 positive pentagonal numbers in 1 way.

960 is not the sum of 3 positive squares.

960

^{2}= 576

^{2}+ 768

^{2}is the sum of 2 positive squares in 1 way.

960

^{2}is the sum of 3 positive squares.

960 is a proper divisor of 31

^{2}- 1.

960 is palindromic in (at least) the following bases: 31, 39, 47, 59, 63, 79, and 95.

960 in base 4 = 33000 and consists of only the digits '0' and '3'.

960 in base 15 = 440 and consists of only the digits '0' and '4'.

### The number 960 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.A000118: Number of ways of writing n as a sum of 4 squares; also theta series of lattice Z^4.

A002093: Highly abundant numbers: numbers n such that sigma(n) > sigma(m) for all m < n.

A002417: 4-dimensional figurate numbers: a(n) = n*binomial(n+2, 3).

A005179: Smallest number with exactly n divisors.

A005563: a(n) = n*(n+2) (or, (n+1)^2 - 1).

A025487: List giving least integer of each prime signature; also products of primorial numbers A002110.

A029470: Numbers n such that n divides the (right) concatenation of all numbers <= n written in base 25 (most significant digit on left).

A033996: 8 times triangular numbers: a(n) = 4n(n+1).

A051682: 11-gonal (or hendecagonal) numbers: a(n) = n*(9*n-7)/2.

A075928: List of codewords in binary lexicode with Hamming distance 4 written as decimal numbers.

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