57642585 has 96 divisors (see below), whose sum is σ = 125126400. Its totient is φ = 22049280.

The previous prime is 57642583. The next prime is 57642593. The reversal of 57642585 is 58524675.

It is not a de Polignac number, because 57642585 - 2¹ = 57642583 is a prime.

It is not an unprimeable number, because it can be changed into a prime (57642581) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 164991 + ... + 165339.

It is an arithmetic number, because the mean of its divisors is an integer number (1303400).

Almost surely, 2^57642585 is an apocalyptic number.

57642585 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

57642585 is an abundant number, since it is smaller than the sum of its proper divisors (67483815).

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

57642585 is a wasteful number, since it uses less digits than its factorization.

57642585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 388 counting only the distinct ones).

The product of its digits is 336000, while the sum is 42.

The square root of 57642585 is about 7592.2713992586. The cubic root of 57642585 is about 386.2909048540.

The spelling of 57642585 in words is "fifty-seven million, six hundred forty-two thousand, five hundred eighty-five".