57868600 has 24 divisors (see below), whose sum is σ = 134544960. Its totient is φ = 23147360.

The previous prime is 57868597. The next prime is 57868627. The reversal of 57868600 is 686875.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 144472 + ... + 144871.

It is an arithmetic number, because the mean of its divisors is an integer number (5606040).

Almost surely, 2^57868600 is an apocalyptic number.

57868600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

57868600 is an abundant number, since it is smaller than the sum of its proper divisors (76676360).

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

57868600 is a wasteful number, since it uses less digits than its factorization.

57868600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289359 (or 289350 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The square root of 57868600 is about 7607.1413816229. The cubic root of 57868600 is about 386.7951251085.

The spelling of 57868600 in words is "fifty-seven million, eight hundred sixty-eight thousand, six hundred".