57988360 has 64 divisors (see below), whose sum is σ = 140842800. Its totient is φ = 21405696.

The previous prime is 57988319. The next prime is 57988367. The reversal of 57988360 is 6388975.

It can be written as a sum of positive squares in 8 ways, for example, as 53670276 + 4318084 = 7326^2 + 2078^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 57988360.

It is not an unprimeable number, because it can be changed into a prime (57988367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35236 + ... + 36844.

Almost surely, 2^57988360 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 57988360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70421400).

57988360 is an abundant number, since it is smaller than the sum of its proper divisors (82854440).

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

57988360 is a wasteful number, since it uses less digits than its factorization.

57988360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1690 (or 1686 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The square root of 57988360 is about 7615.0088640789. The cubic root of 57988360 is about 387.0617675004.

Subtracting from 57988360 its product of nonzero digits (362880), we obtain a triangular number (57625480 = T₁₀₇₃₅).

The spelling of 57988360 in words is "fifty-seven million, nine hundred eighty-eight thousand, three hundred sixty".