57680 has 40 divisors (see below), whose sum is σ = 154752. Its totient is φ = 19584.

The previous prime is 57679. The next prime is 57689. The reversal of 57680 is 8675.

57680 = 17³ + 18³ + ... + 23³.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 509 + ... + 611.

2⁵⁷⁶⁸⁰ 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 57680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77376).

57680 is an abundant number, since it is smaller than the sum of its proper divisors (97072).

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

57680 is a wasteful number, since it uses less digits than its factorization.

57680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 57680 is about 240.1666088364. The cubic root of 57680 is about 38.6374465461.

It can be divided in two parts, 576 and 80, that added together give a palindrome (656).

The spelling of 57680 in words is "fifty-seven thousand, six hundred eighty".