56656 has 10 divisors (see below), whose sum is σ = 109802. Its totient is φ = 28320.

The previous prime is 56633. The next prime is 56659. The reversal of 56656 is 65665.

56656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 46656 + 10000 = 216^2 + 100^2 .

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56659) by changing a digit.

56656 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1755 + ... + 1786.

2⁵⁶⁶⁵⁶ is an apocalyptic number.

It is an amenable number.

56656 is a deficient number, since it is larger than the sum of its proper divisors (53146).

56656 is a wasteful number, since it uses less digits than its factorization.

56656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3549 (or 3543 counting only the distinct ones).

The product of its digits is 5400, while the sum is 28.

The square root of 56656 is about 238.0252087490. The cubic root of 56656 is about 38.4074349030.

Subtracting 56656 from its reverse (65665), we obtain a palindrome (9009).

It can be divided in two parts, 5665 and 6, that added together give a triangular number (5671 = T₁₀₆).

The spelling of 56656 in words is "fifty-six thousand, six hundred fifty-six".