57120600 has 192 divisors, whose sum is σ = 189987840. Its totient is φ = 14169600.

The previous prime is 57120599. The next prime is 57120647. The reversal of 57120600 is 602175.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 688159 + ... + 688241.

It is an arithmetic number, because the mean of its divisors is an integer number (989520).

Almost surely, 2^57120600 is an apocalyptic number.

57120600 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 57120600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94993920).

57120600 is an abundant number, since it is smaller than the sum of its proper divisors (132867240).

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

57120600 is a wasteful number, since it uses less digits than its factorization.

57120600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 57120600 is about 7557.8171451815. The cubic root of 57120600 is about 385.1213425355.

Adding to 57120600 its reverse (602175), we get a palindrome (57722775).

The spelling of 57120600 in words is "fifty-seven million, one hundred twenty thousand, six hundred".