57729604 has 27 divisors (see below), whose sum is σ = 105435421. Its totient is φ = 27656720.

The previous prime is 57729601. The next prime is 57729613. The reversal of 57729604 is 40692775.

The square root of 57729604 is 7598.

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

It can be written as a sum of positive squares in only one way, i.e., 30272004 + 27457600 = 5502^2 + 5240^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (57729601) 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, 440619 + ... + 440749.

Almost surely, 2^57729604 is an apocalyptic number.

57729604 is the 7598-th square number.

It is an amenable number.

57729604 is a deficient number, since it is larger than the sum of its proper divisors (47705817).

57729604 is a wasteful number, since it uses less digits than its factorization.

57729604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 40.

The cubic root of 57729604 is about 386.4851926200.

It can be divided in two parts, 5772 and 9604, that added together give a square (15376 = 124²).

The spelling of 57729604 in words is "fifty-seven million, seven hundred twenty-nine thousand, six hundred four".