57942800 has 60 divisors (see below), whose sum is σ = 147413556. Its totient is φ = 21811200.

The previous prime is 57942793. The next prime is 57942803. The reversal of 57942800 is 824975.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 256 + 57942544 = 16^2 + 7612^2 .

It is not an unprimeable number, because it can be changed into a prime (57942803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2540 + ... + 11060.

Almost surely, 2^57942800 is an apocalyptic number.

57942800 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 57942800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73706778).

57942800 is an abundant number, since it is smaller than the sum of its proper divisors (89470756).

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

57942800 is a wasteful number, since it uses less digits than its factorization.

57942800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8556 (or 8545 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 57942800 is about 7612.0168155358. The cubic root of 57942800 is about 386.9603727004.

The spelling of 57942800 in words is "fifty-seven million, nine hundred forty-two thousand, eight hundred".