56924100 has 144 divisors (see below), whose sum is σ = 189571200. Its totient is φ = 14636160.

The previous prime is 56924099. The next prime is 56924123. The reversal of 56924100 is 142965.

56924100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 47 ways as a sum of consecutive naturals, for example, 77937 + ... + 78663.

Almost surely, 2^56924100 is an apocalyptic number.

56924100 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 56924100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94785600).

56924100 is an abundant number, since it is smaller than the sum of its proper divisors (132647100).

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

56924100 is a wasteful number, since it uses less digits than its factorization.

56924100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 56924100 is about 7544.8061605319. The cubic root of 56924100 is about 384.6792178155.

The spelling of 56924100 in words is "fifty-six million, nine hundred twenty-four thousand, one hundred".