57978960 has 80 divisors (see below), whose sum is σ = 193570944. Its totient is φ = 14270976.

The previous prime is 57978911. The next prime is 57978967. The reversal of 57978960 is 6987975.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57978967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6172 + ... + 12411.

Almost surely, 2^57978960 is an apocalyptic number.

It is an amenable number.

57978960 is an abundant number, since it is smaller than the sum of its proper divisors (135591984).

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

57978960 is a wasteful number, since it uses less digits than its factorization.

57978960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18612 (or 18606 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 51.

The square root of 57978960 is about 7614.3916368939. The cubic root of 57978960 is about 387.0408519395.

The spelling of 57978960 in words is "fifty-seven million, nine hundred seventy-eight thousand, nine hundred sixty".