57978360 has 144 divisors (see below), whose sum is σ = 207272520. Its totient is φ = 14055360.

The previous prime is 57978353. The next prime is 57978409. The reversal of 57978360 is 6387975.

It is a happy number.

57978360 is a `hidden beast` number, since 579 + 78 + 3 + 6 + 0 = 666.

It is a super-2 number, since 2×57978360² = 6722980456579200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5270755 + ... + 5270765.

Almost surely, 2^57978360 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 57978360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103636260).

57978360 is an abundant number, since it is smaller than the sum of its proper divisors (149294160).

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

57978360 is an equidigital number, since it uses as much as digits as its factorization.

57978360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 57978360 is about 7614.3522377153. The cubic root of 57978360 is about 387.0395168269.

The spelling of 57978360 in words is "fifty-seven million, nine hundred seventy-eight thousand, three hundred sixty".