57060160 has 84 divisors (see below), whose sum is σ = 144571212. Its totient is φ = 21446656.

The previous prime is 57060137. The next prime is 57060161. The reversal of 57060160 is 6106075.

It can be written as a sum of positive squares in 6 ways, for example, as 389376 + 56670784 = 624^2 + 7528^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57060161) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92172 + ... + 92788.

Almost surely, 2^57060160 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 57060160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72285606).

57060160 is an abundant number, since it is smaller than the sum of its proper divisors (87511052).

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

57060160 is a wasteful number, since it uses less digits than its factorization.

57060160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 57060160 is about 7553.8175778874. The cubic root of 57060160 is about 384.9854607429.

The spelling of 57060160 in words is "fifty-seven million, sixty thousand, one hundred sixty".