57866900 has 72 divisors (see below), whose sum is σ = 154573440. Its totient is φ = 18311040.

The previous prime is 57866899. The next prime is 57866911. The reversal of 57866900 is 966875.

It is a happy number.

It is a super-2 number, since 2×57866900² = 6697156231220000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 5921 + ... + 12279.

Almost surely, 2^57866900 is an apocalyptic number.

57866900 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 57866900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77286720).

57866900 is an abundant number, since it is smaller than the sum of its proper divisors (96706540).

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

57866900 is a wasteful number, since it uses less digits than its factorization.

57866900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6393 (or 6386 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 41.

The square root of 57866900 is about 7607.0296436914. The cubic root of 57866900 is about 386.7913374576.

The spelling of 57866900 in words is "fifty-seven million, eight hundred sixty-six thousand, nine hundred".