57968600 has 24 divisors (see below), whose sum is σ = 134777460. Its totient is φ = 23187360.

The previous prime is 57968597. The next prime is 57968609. The reversal of 57968600 is 686975.

It is a happy number.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57968609) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 144722 + ... + 145121.

Almost surely, 2^57968600 is an apocalyptic number.

57968600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

57968600 is an abundant number, since it is smaller than the sum of its proper divisors (76808860).

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

57968600 is a wasteful number, since it uses less digits than its factorization.

57968600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289859 (or 289850 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 41.

The square root of 57968600 is about 7613.7113157776. The cubic root of 57968600 is about 387.0177977023.

The spelling of 57968600 in words is "fifty-seven million, nine hundred sixty-eight thousand, six hundred".