57198960 has 400 divisors, whose sum is σ = 247025856. Its totient is φ = 11943936.

The previous prime is 57198959. The next prime is 57198971. The reversal of 57198960 is 6989175.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 589632 + ... + 589728.

Almost surely, 2^57198960 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 57198960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123512928).

57198960 is an abundant number, since it is smaller than the sum of its proper divisors (189826896).

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

57198960 is a wasteful number, since it uses less digits than its factorization.

57198960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 57198960 is about 7562.9994049980. Note that the first 3 decimals coincide. The cubic root of 57198960 is about 385.2973696263.

The spelling of 57198960 in words is "fifty-seven million, one hundred ninety-eight thousand, nine hundred sixty".