57944880 has 120 divisors (see below), whose sum is σ = 222417312. Its totient is φ = 13243392.

The previous prime is 57944879. The next prime is 57944881. The reversal of 57944880 is 8844975.

It is an interprime number because it is at equal distance from previous prime (57944879) and next prime (57944881).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (57944881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 709 + ... + 10788.

Almost surely, 2^57944880 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 57944880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111208656).

57944880 is an abundant number, since it is smaller than the sum of its proper divisors (164472432).

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

57944880 is a wasteful number, since it uses less digits than its factorization.

57944880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11523 (or 11514 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 57944880 is about 7612.1534403873. The cubic root of 57944880 is about 386.9650029447.

The spelling of 57944880 in words is "fifty-seven million, nine hundred forty-four thousand, eight hundred eighty".