57985664 has 32 divisors (see below), whose sum is σ = 126023040. Its totient is φ = 26356480.

The previous prime is 57985649. The next prime is 57985667. The reversal of 57985664 is 46658975.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (57985667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19184 + ... + 21999.

It is an arithmetic number, because the mean of its divisors is an integer number (3938220).

Almost surely, 2^57985664 is an apocalyptic number.

It is an amenable number.

57985664 is an abundant number, since it is smaller than the sum of its proper divisors (68037376).

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

57985664 is a wasteful number, since it uses less digits than its factorization.

57985664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41208 (or 41196 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 50.

The square root of 57985664 is about 7614.8318431860. The cubic root of 57985664 is about 387.0557689707.

The spelling of 57985664 in words is "fifty-seven million, nine hundred eighty-five thousand, six hundred sixty-four".