57320640 has 168 divisors, whose sum is σ = 212463888. Its totient is φ = 14100480.

The previous prime is 57320621. The next prime is 57320647. The reversal of 57320640 is 4602375.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (57320647) 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 23 ways as a sum of consecutive naturals, for example, 36675 + ... + 38205.

It is an arithmetic number, because the mean of its divisors is an integer number (1264666).

Almost surely, 2^57320640 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 57320640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106231944).

57320640 is an abundant number, since it is smaller than the sum of its proper divisors (155143248).

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

57320640 is a wasteful number, since it uses less digits than its factorization.

57320640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1567 (or 1554 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 57320640 is about 7571.0395587396. The cubic root of 57320640 is about 385.5703919462.

The spelling of 57320640 in words is "fifty-seven million, three hundred twenty thousand, six hundred forty".