57362816 has 64 divisors (see below), whose sum is σ = 132542880. Its totient is φ = 24219648.

The previous prime is 57362779. The next prime is 57362819. The reversal of 57362816 is 61826375.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 57362816.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57362819) 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 7 ways as a sum of consecutive naturals, for example, 64970 + ... + 65846.

Almost surely, 2^57362816 is an apocalyptic number.

57362816 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57362816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66271440).

57362816 is an abundant number, since it is smaller than the sum of its proper divisors (75180064).

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

57362816 is an equidigital number, since it uses as much as digits as its factorization.

57362816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 959 counting only the distinct ones).

The product of its digits is 60480, while the sum is 38.

The square root of 57362816 is about 7573.8243972250. The cubic root of 57362816 is about 385.6649351453.

The spelling of 57362816 in words is "fifty-seven million, three hundred sixty-two thousand, eight hundred sixteen".