57001320 has 160 divisors (see below), whose sum is σ = 195018120. Its totient is φ = 14929920.

The previous prime is 57001313. The next prime is 57001363. The reversal of 57001320 is 2310075.

57001320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 52099524 + 4901796 = 7218^2 + 2214^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 57001293 and 57001302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 236400 + ... + 236640.

Almost surely, 2^57001320 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 57001320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97509060).

57001320 is an abundant number, since it is smaller than the sum of its proper divisors (138016800).

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

57001320 is a wasteful number, since it uses less digits than its factorization.

57001320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 57001320 is about 7549.9218539002. The cubic root of 57001320 is about 384.8530838776.

Adding to 57001320 its reverse (2310075), we get a palindrome (59311395).

The spelling of 57001320 in words is "fifty-seven million, one thousand, three hundred twenty".