57164900 has 36 divisors (see below), whose sum is σ = 133593012. Its totient is φ = 21106560.

The previous prime is 57164873. The next prime is 57164911. The reversal of 57164900 is 946175.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 6584356 + 50580544 = 2566^2 + 7112^2 .

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, 20687 + ... + 23286.

It is an arithmetic number, because the mean of its divisors is an integer number (3710917).

Almost surely, 2^57164900 is an apocalyptic number.

57164900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

57164900 is an abundant number, since it is smaller than the sum of its proper divisors (76428112).

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

57164900 is a wasteful number, since it uses less digits than its factorization.

57164900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44000 (or 43993 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 57164900 is about 7560.7473175606. The cubic root of 57164900 is about 385.2208773609.

The spelling of 57164900 in words is "fifty-seven million, one hundred sixty-four thousand, nine hundred".