56937000 has 64 divisors (see below), whose sum is σ = 177652800. Its totient is φ = 15182400.

The previous prime is 56936993. The next prime is 56937011. The reversal of 56937000 is 73965.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6490 + ... + 12489.

It is an arithmetic number, because the mean of its divisors is an integer number (2775825).

Almost surely, 2^56937000 is an apocalyptic number.

56937000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56937000 is an abundant number, since it is smaller than the sum of its proper divisors (120715800).

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

56937000 is a wasteful number, since it uses less digits than its factorization.

56937000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19003 (or 18989 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 56937000 is about 7545.6610048425. The cubic root of 56937000 is about 384.7082739745.

The spelling of 56937000 in words is "fifty-six million, nine hundred thirty-seven thousand".