57580 has 12 divisors (see below), whose sum is σ = 120960. Its totient is φ = 23024.

The previous prime is 57571. The next prime is 57587. The reversal of 57580 is 8575.

57580 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (57587) by changing a digit.

57580 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1420 + ... + 1459.

It is an arithmetic number, because the mean of its divisors is an integer number (10080).

2⁵⁷⁵⁸⁰ is an apocalyptic number.

It is an amenable number.

57580 is an abundant number, since it is smaller than the sum of its proper divisors (63380).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60480).

57580 is a wasteful number, since it uses less digits than its factorization.

57580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2888 (or 2886 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 25.

The square root of 57580 is about 239.9583297158. The cubic root of 57580 is about 38.6151050085.

The spelling of 57580 in words is "fifty-seven thousand, five hundred eighty".