57084160 has 144 divisors (see below), whose sum is σ = 163650816. Its totient is φ = 18653184.

The previous prime is 57084149. The next prime is 57084161. The reversal of 57084160 is 6148075.

It is not an unprimeable number, because it can be changed into a prime (57084161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205942 + ... + 206218.

It is an arithmetic number, because the mean of its divisors is an integer number (1136464).

Almost surely, 2^57084160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57084160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81825408).

57084160 is an abundant number, since it is smaller than the sum of its proper divisors (106566656).

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

57084160 is a wasteful number, since it uses less digits than its factorization.

57084160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 57084160 is about 7555.4060115920. The cubic root of 57084160 is about 385.0394292557.

The spelling of 57084160 in words is "fifty-seven million, eighty-four thousand, one hundred sixty".