57271564 has 48 divisors (see below), whose sum is σ = 120734208. Its totient is φ = 23240448.

The previous prime is 57271561. The next prime is 57271573. The reversal of 57271564 is 46517275.

57271564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (57271561) 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, 72379 + ... + 73165.

It is an arithmetic number, because the mean of its divisors is an integer number (2515296).

Almost surely, 2^57271564 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 57271564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60367104).

57271564 is an abundant number, since it is smaller than the sum of its proper divisors (63462644).

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

57271564 is a wasteful number, since it uses less digits than its factorization.

57271564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 932 counting only the distinct ones).

The product of its digits is 58800, while the sum is 37.

The square root of 57271564 is about 7567.7978302806. The cubic root of 57271564 is about 385.4603230698.

It can be divided in two parts, 5727 and 1564, that multiplied together give a triangular number (8957028 = T₄₂₃₂).

The spelling of 57271564 in words is "fifty-seven million, two hundred seventy-one thousand, five hundred sixty-four".