57505620 has 96 divisors (see below), whose sum is σ = 170311680. Its totient is φ = 14474880.

The previous prime is 57505603. The next prime is 57505633. The reversal of 57505620 is 2650575.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79621 + ... + 80339.

It is an arithmetic number, because the mean of its divisors is an integer number (1774080).

Almost surely, 2^57505620 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 57505620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85155840).

57505620 is an abundant number, since it is smaller than the sum of its proper divisors (112806060).

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

57505620 is a wasteful number, since it uses less digits than its factorization.

57505620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 30.

The square root of 57505620 is about 7583.2460068232. The cubic root of 57505620 is about 385.9847059186.

The spelling of 57505620 in words is "fifty-seven million, five hundred five thousand, six hundred twenty".