57881664 has 63 divisors (see below), whose sum is σ = 166432357. Its totient is φ = 19233024.

The previous prime is 57881633. The next prime is 57881669. The reversal of 57881664 is 46618875.

It is a happy number.

The square root of 57881664 is 7608.

It is a perfect power (a square), and thus also a powerful number.

57881664 is a `hidden beast` number, since 578 + 8 + 16 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3240000 + 54641664 = 1800^2 + 7392^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (57881669) 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 8 ways as a sum of consecutive naturals, for example, 182434 + ... + 182750.

Almost surely, 2^57881664 is an apocalyptic number.

57881664 is the 7608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57881664

57881664 is an abundant number, since it is smaller than the sum of its proper divisors (108550693).

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

57881664 is an equidigital number, since it uses as much as digits as its factorization.

57881664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 322 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The cubic root of 57881664 is about 386.8242296160.

It can be divided in two parts, 57 and 881664, that added together give a square (881721 = 939²).

The spelling of 57881664 in words is "fifty-seven million, eight hundred eighty-one thousand, six hundred sixty-four".