8656 has 10 divisors (see below), whose sum is σ = 16802. Its totient is φ = 4320.

The previous prime is 8647. The next prime is 8663. The reversal of 8656 is 6568.

It can be written as a sum of positive squares in only one way, i.e., 7056 + 1600 = 84^2 + 40^2 .

It is a plaindrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 8656.

It is a congruent number.

It is an unprimeable number.

8656 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 255 + ... + 286.

2⁸⁶⁵⁶ is an apocalyptic number.

It is an amenable number.

8656 is a deficient number, since it is larger than the sum of its proper divisors (8146).

8656 is a wasteful number, since it uses less digits than its factorization.

8656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 543 counting only the distinct ones).

The product of its digits is 1440, while the sum is 25.

The square root of 8656 is about 93.0376267969. The cubic root of 8656 is about 20.5323700378.

The spelling of 8656 in words is "eight thousand, six hundred fifty-six".