56564352 has 128 divisors (see below), whose sum is σ = 179928000. Its totient is φ = 17390592.

The previous prime is 56564341. The next prime is 56564381. The reversal of 56564352 is 25346565.

It is a happy number.

56564352 is a `hidden beast` number, since 5 + 6 + 5 + 643 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44299 + ... + 45557.

Almost surely, 2^56564352 is an apocalyptic number.

56564352 is a gapful number since it is divisible by the number (52) 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 56564352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89964000).

56564352 is an abundant number, since it is smaller than the sum of its proper divisors (123363648).

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

56564352 is a wasteful number, since it uses less digits than its factorization.

56564352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1295 (or 1277 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

The square root of 56564352 is about 7520.9276023640. The cubic root of 56564352 is about 383.8671415382.

The spelling of 56564352 in words is "fifty-six million, five hundred sixty-four thousand, three hundred fifty-two".