56808864 has 240 divisors, whose sum is σ = 199051776. Its totient is φ = 15552000.

The previous prime is 56808863. The next prime is 56808877. The reversal of 56808864 is 46880865.

56808864 is a `hidden beast` number, since 568 + 0 + 8 + 86 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (56808863) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 562414 + ... + 562514.

Almost surely, 2^56808864 is an apocalyptic number.

56808864 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56808864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99525888).

56808864 is an abundant number, since it is smaller than the sum of its proper divisors (142242912).

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

56808864 is a wasteful number, since it uses less digits than its factorization.

56808864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 56808864 is about 7537.1655149665. The cubic root of 56808864 is about 384.4194635060.

The spelling of 56808864 in words is "fifty-six million, eight hundred eight thousand, eight hundred sixty-four".