56563164 has 96 divisors (see below), whose sum is σ = 174935040. Its totient is φ = 15453504.

The previous prime is 56563153. The next prime is 56563181. The reversal of 56563164 is 46136565.

56563164 is a `hidden beast` number, since 565 + 6 + 31 + 64 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15762 + ... + 19014.

It is an arithmetic number, because the mean of its divisors is an integer number (1822240).

Almost surely, 2^56563164 is an apocalyptic number.

56563164 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 56563164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87467520).

56563164 is an abundant number, since it is smaller than the sum of its proper divisors (118371876).

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

56563164 is a wasteful number, since it uses less digits than its factorization.

56563164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3296 (or 3288 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 56563164 is about 7520.8486223298. The cubic root of 56563164 is about 383.8644541132.

The spelling of 56563164 in words is "fifty-six million, five hundred sixty-three thousand, one hundred sixty-four".