57550960 has 80 divisors (see below), whose sum is σ = 138607200. Its totient is φ = 22212608.

The previous prime is 57550957. The next prime is 57550963. The reversal of 57550960 is 6905575.

It is an interprime number because it is at equal distance from previous prime (57550957) and next prime (57550963).

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

It is a super-2 number, since 2×57550960² = 6624225993843200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57550963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 420012 + ... + 420148.

It is an arithmetic number, because the mean of its divisors is an integer number (1732590).

Almost surely, 2^57550960 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 57550960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69303600).

57550960 is an abundant number, since it is smaller than the sum of its proper divisors (81056240).

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

57550960 is a wasteful number, since it uses less digits than its factorization.

57550960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 47250, while the sum is 37.

The square root of 57550960 is about 7586.2349027696. The cubic root of 57550960 is about 386.0861217986.

The spelling of 57550960 in words is "fifty-seven million, five hundred fifty thousand, nine hundred sixty".