Number of the day: 8660

Properties of the number 8660:

8660 = 2² × 5 × 433 is the 7582^th composite number and is not squarefree.
8660 has 3 distinct prime factors, 12 divisors, 9 antidivisors and 3456 totatives.
8660 has an oblong digit sum 20 in base 10.
8660 = 2166² - 2164² = 438² - 428² is the difference of 2 nonnegative squares in 2 ways.
8660 is the difference of 2 positive pentagonal numbers in 2 ways.
8660 = 44² + 82² = 14² + 92² is the sum of 2 positive squares in 2 ways.
8660 = 4² + 30² + 88² is the sum of 3 positive squares.
8660² = 2900² + 8160² = 2576² + 8268² = 4788² + 7216² = 5196² + 6928² is the sum of 2 positive squares in 4 ways.
8660² is the sum of 3 positive squares.
8660 is a proper divisor of 179⁴ - 1.
8660 is palindromic in (at least) the following bases: -74, and -78.
8660 in base 46 = 44C and consists of only the digits '4' and 'C'.

The number 8660 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A002627: a(n) = n*a(n-1) + 1, a(0) = 0.
A003430: Number of unlabeled N-free posets (i.e. generated by unions and sums) with n nodes.
A059922: Each term in the table is the product of the two terms above it + 1.
A061658: In base 4 n and n^2 contain the same digits in the same proportion.
A087610: Number of (-1,0,1) polynomials of degree-n irreducible over the integers.
A180223: a(n) = (11*n^2 - 7*n)/2.
A207061: Nonnegative values x of solutions (x, y) to the Diophantine equation x^2 + (x+433)^2 = y^2.
A219040: Numbers n such that 3^n + 20 is prime.
A231246: T(n,k)=Number of nXk 0..3 arrays x(i,j) with each element horizontally, diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 4, no adjacent elements equal, and upper left element zero
A260294: T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00001001