57380320 has 48 divisors (see below), whose sum is σ = 138883248. Its totient is φ = 22389760.

The previous prime is 57380311. The next prime is 57380329. The reversal of 57380320 is 2308375.

It is an interprime number because it is at equal distance from previous prime (57380311) and next prime (57380329).

It is a super-2 number, since 2×57380320² = 6585002246604800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57380329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2187 + ... + 10933.

It is an arithmetic number, because the mean of its divisors is an integer number (2893401).

Almost surely, 2^57380320 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 57380320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69441624).

57380320 is an abundant number, since it is smaller than the sum of its proper divisors (81502928).

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

57380320 is a wasteful number, since it uses less digits than its factorization.

57380320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8803 (or 8795 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 57380320 is about 7574.9798679600. The cubic root of 57380320 is about 385.7041591175.

Adding to 57380320 its reverse (2308375), we get a palindrome (59688695).

The spelling of 57380320 in words is "fifty-seven million, three hundred eighty thousand, three hundred twenty".