56564100 has 108 divisors (see below), whose sum is σ = 187777044. Its totient is φ = 14192640.

The previous prime is 56564099. The next prime is 56564177. The reversal of 56564100 is 146565.

It is a happy number.

56564100 is a `hidden beast` number, since 5 + 656 + 4 + 1 + 0 + 0 = 666.

56564100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 3069504 + 53494596 = 1752^2 + 7314^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13452 + ... + 17148.

Almost surely, 2^56564100 is an apocalyptic number.

56564100 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 56564100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93888522).

56564100 is an abundant number, since it is smaller than the sum of its proper divisors (131212944).

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

56564100 is a wasteful number, since it uses less digits than its factorization.

56564100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3734 (or 3724 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 56564100 is about 7520.9108490927. The cubic root of 56564100 is about 383.8665714815.

The spelling of 56564100 in words is "fifty-six million, five hundred sixty-four thousand, one hundred".