57805164 has 60 divisors (see below), whose sum is σ = 157704624. Its totient is φ = 18428256.

The previous prime is 57805157. The next prime is 57805177. The reversal of 57805164 is 46150875.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3574 + ... + 11330.

Almost surely, 2^57805164 is an apocalyptic number.

57805164 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57805164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78852312).

57805164 is an abundant number, since it is smaller than the sum of its proper divisors (99899460).

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

57805164 is a wasteful number, since it uses less digits than its factorization.

57805164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7796 (or 7785 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 57805164 is about 7602.9707351798. The cubic root of 57805164 is about 386.6537375119.

The spelling of 57805164 in words is "fifty-seven million, eight hundred five thousand, one hundred sixty-four".