57164160 has 128 divisors (see below), whose sum is σ = 191923200. Its totient is φ = 14432256.

The previous prime is 57164153. The next prime is 57164161. The reversal of 57164160 is 6146175.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57164161) 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, 35697 + ... + 37263.

It is an arithmetic number, because the mean of its divisors is an integer number (1499400).

Almost surely, 2^57164160 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 57164160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95961600).

57164160 is an abundant number, since it is smaller than the sum of its proper divisors (134759040).

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

57164160 is a wasteful number, since it uses less digits than its factorization.

57164160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1608 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 57164160 is about 7560.6983804408. The cubic root of 57164160 is about 385.2192151248.

The spelling of 57164160 in words is "fifty-seven million, one hundred sixty-four thousand, one hundred sixty".