57148800 has 96 divisors (see below), whose sum is σ = 188265480. Its totient is φ = 15237120.

The previous prime is 57148799. The next prime is 57148843. The reversal of 57148800 is 884175.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6624 + ... + 12576.

Almost surely, 2^57148800 is an apocalyptic number.

57148800 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 57148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94132740).

57148800 is an abundant number, since it is smaller than the sum of its proper divisors (131116680).

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

57148800 is a wasteful number, since it uses less digits than its factorization.

57148800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5980 (or 5963 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 57148800 is about 7559.6825330168. The cubic root of 57148800 is about 385.1847092550.

The spelling of 57148800 in words is "fifty-seven million, one hundred forty-eight thousand, eight hundred".