57009960 has 128 divisors (see below), whose sum is σ = 217209600. Its totient is φ = 13029120.

The previous prime is 57009941. The next prime is 57009971. The reversal of 57009960 is 6990075.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3790 + ... + 11330.

It is an arithmetic number, because the mean of its divisors is an integer number (1696950).

Almost surely, 2^57009960 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 57009960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108604800).

57009960 is an abundant number, since it is smaller than the sum of its proper divisors (160199640).

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

57009960 is a wasteful number, since it uses less digits than its factorization.

57009960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7568 (or 7558 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 57009960 is about 7550.4940235722. The cubic root of 57009960 is about 384.8725276533.

The spelling of 57009960 in words is "fifty-seven million, nine thousand, nine hundred sixty".