57853680 has 80 divisors (see below), whose sum is σ = 180420000. Its totient is φ = 15335424.

The previous prime is 57853633. The next prime is 57853721. The reversal of 57853680 is 8635875.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45696 + ... + 46944.

It is an arithmetic number, because the mean of its divisors is an integer number (2255250).

Almost surely, 2^57853680 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 57853680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90210000).

57853680 is an abundant number, since it is smaller than the sum of its proper divisors (122566320).

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

57853680 is a wasteful number, since it uses less digits than its factorization.

57853680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1458 (or 1452 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 57853680 is about 7606.1606609379. The cubic root of 57853680 is about 386.7618803706.

The spelling of 57853680 in words is "fifty-seven million, eight hundred fifty-three thousand, six hundred eighty".