57352960 has 144 divisors (see below), whose sum is σ = 162179136. Its totient is φ = 19021824.

The previous prime is 57352957. The next prime is 57352991. The reversal of 57352960 is 6925375.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 331434 + ... + 331606.

It is an arithmetic number, because the mean of its divisors is an integer number (1126244).

Almost surely, 2^57352960 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 57352960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81089568).

57352960 is an abundant number, since it is smaller than the sum of its proper divisors (104826176).

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

57352960 is a wasteful number, since it uses less digits than its factorization.

57352960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 37.

The square root of 57352960 is about 7573.1737072379. The cubic root of 57352960 is about 385.6428457409.

The spelling of 57352960 in words is "fifty-seven million, three hundred fifty-two thousand, nine hundred sixty".