57711564 has 54 divisors (see below), whose sum is σ = 150059364. Its totient is φ = 18701280.

The previous prime is 57711557. The next prime is 57711593. The reversal of 57711564 is 46511775.

It is a super-4 number, since 4×57711564⁴ (a number of 32 digits) contains 4444 as substring.

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 17 ways as a sum of consecutive naturals, for example, 48699 + ... + 49869.

Almost surely, 2^57711564 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 57711564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75029682).

57711564 is an abundant number, since it is smaller than the sum of its proper divisors (92347800).

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

57711564 is a wasteful number, since it uses less digits than its factorization.

57711564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255 (or 1213 counting only the distinct ones).

The product of its digits is 29400, while the sum is 36.

The square root of 57711564 is about 7596.8127527273. The cubic root of 57711564 is about 386.4449306702. Note that the first 3 decimals are identical.

The spelling of 57711564 in words is "fifty-seven million, seven hundred eleven thousand, five hundred sixty-four".