56566400 has 96 divisors (see below), whose sum is σ = 152534880. Its totient is φ = 20556800.

The previous prime is 56566399. The next prime is 56566441. The reversal of 56566400 is 466565.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34397 + ... + 36003.

It is an arithmetic number, because the mean of its divisors is an integer number (1588905).

Almost surely, 2^56566400 is an apocalyptic number.

56566400 is a gapful number since it is divisible by the number (50) 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 56566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76267440).

56566400 is an abundant number, since it is smaller than the sum of its proper divisors (95968480).

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

56566400 is a wasteful number, since it uses less digits than its factorization.

56566400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1642 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 56566400 is about 7521.0637545496. The cubic root of 56566400 is about 383.8717743171.

The spelling of 56566400 in words is "fifty-six million, five hundred sixty-six thousand, four hundred".