57820816 has 15 divisors (see below), whose sum is σ = 112086793. Its totient is φ = 28895200.

The previous prime is 57820787. The next prime is 57820817. The reversal of 57820816 is 61802875.

The square root of 57820816 is 7604.

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., 4822416 + 52998400 = 2196^2 + 7280^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (57820817) 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 2 ways as a sum of consecutive naturals, for example, 29466 + ... + 31366.

Almost surely, 2^57820816 is an apocalyptic number.

57820816 is the 7604-th square number.

It is an amenable number.

57820816 is a deficient number, since it is larger than the sum of its proper divisors (54265977).

57820816 is an frugal number, since it uses more digits than its factorization.

57820816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3810 (or 1903 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 37.

The cubic root of 57820816 is about 386.6886326536.

The spelling of 57820816 in words is "fifty-seven million, eight hundred twenty thousand, eight hundred sixteen".