57981900 has 72 divisors (see below), whose sum is σ = 177644880. Its totient is φ = 14551040.

The previous prime is 57981887. The next prime is 57981941. The reversal of 57981900 is 918975.

It is a happy number.

It is a super-2 number, since 2×57981900² = 6723801455220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 585 + ... + 10784.

It is an arithmetic number, because the mean of its divisors is an integer number (2467290).

Almost surely, 2^57981900 is an apocalyptic number.

57981900 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 57981900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88822440).

57981900 is an abundant number, since it is smaller than the sum of its proper divisors (119662980).

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

57981900 is a wasteful number, since it uses less digits than its factorization.

57981900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11403 (or 11396 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 39.

The square root of 57981900 is about 7614.5846899224. The cubic root of 57981900 is about 387.0473938578.

The spelling of 57981900 in words is "fifty-seven million, nine hundred eighty-one thousand, nine hundred".