56624256 has 192 divisors, whose sum is σ = 185640000. Its totient is φ = 16422912.

The previous prime is 56624251. The next prime is 56624257. The reversal of 56624256 is 65242665.

56624256 is a `hidden beast` number, since 5 + 6 + 624 + 25 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 56624256.

It is not an unprimeable number, because it can be changed into a prime (56624251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 284445 + ... + 284643.

It is an arithmetic number, because the mean of its divisors is an integer number (966875).

Almost surely, 2^56624256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56624256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92820000).

56624256 is an abundant number, since it is smaller than the sum of its proper divisors (129015744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

56624256 is a wasteful number, since it uses less digits than its factorization.

56624256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 236 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 56624256 is about 7524.9090359951. The cubic root of 56624256 is about 384.0026041490.

The spelling of 56624256 in words is "fifty-six million, six hundred twenty-four thousand, two hundred fifty-six".