57506460 has 108 divisors (see below), whose sum is σ = 178997784. Its totient is φ = 13784320.

The previous prime is 57506459. The next prime is 57506479. The reversal of 57506460 is 6460575.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 646096 + ... + 646184.

Almost surely, 2^57506460 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 57506460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89498892).

57506460 is an abundant number, since it is smaller than the sum of its proper divisors (121491324).

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

57506460 is a wasteful number, since it uses less digits than its factorization.

57506460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 57506460 is about 7583.3013918741. The cubic root of 57506460 is about 385.9865853034.

The spelling of 57506460 in words is "fifty-seven million, five hundred six thousand, four hundred sixty".