57900 has 36 divisors (see below), whose sum is σ = 168392. Its totient is φ = 15360.

The previous prime is 57899. The next prime is 57901. The reversal of 57900 is 975.

It is an interprime number because it is at equal distance from previous prime (57899) and next prime (57901).

It is not an unprimeable number, because it can be changed into a prime (57901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 204 + ... + 396.

2⁵⁷⁹⁰⁰ is an apocalyptic number.

57900 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 57900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84196).

57900 is an abundant number, since it is smaller than the sum of its proper divisors (110492).

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

57900 is a wasteful number, since it uses less digits than its factorization.

57900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 315, while the sum is 21.

The square root of 57900 is about 240.6241883103. The cubic root of 57900 is about 38.6865071912.

The spelling of 57900 in words is "fifty-seven thousand, nine hundred".