56945700 has 288 divisors, whose sum is σ = 219985920. Its totient is φ = 12355200.

The previous prime is 56945683. The next prime is 56945711. The reversal of 56945700 is 754965.

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 95 ways as a sum of consecutive naturals, for example, 434635 + ... + 434765.

It is an arithmetic number, because the mean of its divisors is an integer number (763840).

Almost surely, 2^56945700 is an apocalyptic number.

56945700 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 56945700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109992960).

56945700 is an abundant number, since it is smaller than the sum of its proper divisors (163040220).

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

56945700 is a wasteful number, since it uses less digits than its factorization.

56945700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 56945700 is about 7546.2374730723. The cubic root of 56945700 is about 384.7278675108.

The spelling of 56945700 in words is "fifty-six million, nine hundred forty-five thousand, seven hundred".