57793320 has 192 divisors, whose sum is σ = 206977680. Its totient is φ = 13897728.

The previous prime is 57793303. The next prime is 57793327. The reversal of 57793320 is 2339775.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 12068676 + 45724644 = 3474^2 + 6762^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (57793327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 247924 + ... + 248156.

Almost surely, 2^57793320 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 57793320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103488840).

57793320 is an abundant number, since it is smaller than the sum of its proper divisors (149184360).

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

57793320 is a wasteful number, since it uses less digits than its factorization.

57793320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 36.

The square root of 57793320 is about 7602.1917892145. The cubic root of 57793320 is about 386.6273278779.

The spelling of 57793320 in words is "fifty-seven million, seven hundred ninety-three thousand, three hundred twenty".