57985564 has 48 divisors (see below), whose sum is σ = 125599936. Its totient is φ = 22809600.

The previous prime is 57985541. The next prime is 57985567. The reversal of 57985564 is 46558975.

57985564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57985567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87394 + ... + 88054.

Almost surely, 2^57985564 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 57985564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62799968).

57985564 is an abundant number, since it is smaller than the sum of its proper divisors (67614372).

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

57985564 is a wasteful number, since it uses less digits than its factorization.

57985564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 924 counting only the distinct ones).

The product of its digits is 1512000, while the sum is 49.

The square root of 57985564 is about 7614.8252770500. The cubic root of 57985564 is about 387.0555464697.

The spelling of 57985564 in words is "fifty-seven million, nine hundred eighty-five thousand, five hundred sixty-four".