57868800 has 240 divisors, whose sum is σ = 210066912. Its totient is φ = 13926400.

The previous prime is 57868781. The next prime is 57868801. The reversal of 57868800 is 886875.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (57868801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 422332 + ... + 422468.

Almost surely, 2^57868800 is an apocalyptic number.

57868800 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 57868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105033456).

57868800 is an abundant number, since it is smaller than the sum of its proper divisors (152198112).

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

57868800 is a wasteful number, since it uses less digits than its factorization.

57868800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The square root of 57868800 is about 7607.1545271540. The cubic root of 57868800 is about 386.7955707096.

It can be divided in two parts, 578 and 68800, that added together give a triangular number (69378 = T₃₇₂).

The spelling of 57868800 in words is "fifty-seven million, eight hundred sixty-eight thousand, eight hundred".