56264256 has 168 divisors, whose sum is σ = 174979584. Its totient is φ = 17233920.

The previous prime is 56264251. The next prime is 56264269. The reversal of 56264256 is 65246265.

56264256 is a `hidden beast` number, since 5 + 6 + 2 + 642 + 5 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 56264256.

It is not an unprimeable number, because it can be changed into a prime (56264251) 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, 410620 + ... + 410756.

Almost surely, 2^56264256 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 56264256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87489792).

56264256 is an abundant number, since it is smaller than the sum of its proper divisors (118715328).

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

56264256 is a wasteful number, since it uses less digits than its factorization.

56264256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 196 counting only the distinct ones).

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

The square root of 56264256 is about 7500.9503397903. The cubic root of 56264256 is about 383.1870823731.

Subtracting 56264256 from its reverse (65246265), we obtain a square (8982009 = 2997²).

The spelling of 56264256 in words is "fifty-six million, two hundred sixty-four thousand, two hundred fifty-six".