56624 has 10 divisors (see below), whose sum is σ = 109740. Its totient is φ = 28304.

The previous prime is 56611. The next prime is 56629. The reversal of 56624 is 42665.

56624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 56624.

It is not an unprimeable number, because it can be changed into a prime (56629) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1754 + ... + 1785.

It is an arithmetic number, because the mean of its divisors is an integer number (10974).

2⁵⁶⁶²⁴ is an apocalyptic number.

It is an amenable number.

56624 is a deficient number, since it is larger than the sum of its proper divisors (53116).

56624 is a wasteful number, since it uses less digits than its factorization.

56624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3547 (or 3541 counting only the distinct ones).

The product of its digits is 1440, while the sum is 23.

The square root of 56624 is about 237.9579794838. The cubic root of 56624 is about 38.4002025452.

The spelling of 56624 in words is "fifty-six thousand, six hundred twenty-four".