57348960 has 96 divisors (see below), whose sum is σ = 182038752. Its totient is φ = 15175680.

The previous prime is 57348953. The next prime is 57348961. The reversal of 57348960 is 6984375.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57348961) 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, 74980 + ... + 75740.

It is an arithmetic number, because the mean of its divisors is an integer number (1896237).

Almost surely, 2^57348960 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 57348960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91019376).

57348960 is an abundant number, since it is smaller than the sum of its proper divisors (124689792).

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

57348960 is a wasteful number, since it uses less digits than its factorization.

57348960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 57348960 is about 7572.9096125598. The cubic root of 57348960 is about 385.6338801633.

The spelling of 57348960 in words is "fifty-seven million, three hundred forty-eight thousand, nine hundred sixty".