57540 has 48 divisors (see below), whose sum is σ = 185472. Its totient is φ = 13056.

The previous prime is 57529. The next prime is 57557. The reversal of 57540 is 4575.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 352 + ... + 488.

It is an arithmetic number, because the mean of its divisors is an integer number (3864).

2⁵⁷⁵⁴⁰ 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 57540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92736).

57540 is an abundant number, since it is smaller than the sum of its proper divisors (127932).

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

57540 is a wasteful number, since it uses less digits than its factorization.

57540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 21.

The square root of 57540 is about 239.8749674310. The cubic root of 57540 is about 38.6061611506.

The spelling of 57540 in words is "fifty-seven thousand, five hundred forty".