57060 has 36 divisors (see below), whose sum is σ = 173628. Its totient is φ = 15168.

The previous prime is 57059. The next prime is 57073. The reversal of 57060 is 6075.

It can be written as a sum of positive squares in 2 ways, for example, as 10404 + 46656 = 102^2 + 216^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22 + ... + 338.

It is an arithmetic number, because the mean of its divisors is an integer number (4823).

2⁵⁷⁰⁶⁰ 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 57060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86814).

57060 is an abundant number, since it is smaller than the sum of its proper divisors (116568).

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

57060 is a wasteful number, since it uses less digits than its factorization.

57060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 57060 is about 238.8723508487. The cubic root of 57060 is about 38.4985100902.

It can be divided in two parts, 570 and 60, that added together give a triangular number (630 = T₃₅).

The spelling of 57060 in words is "fifty-seven thousand, sixty".