57901680 has 120 divisors (see below), whose sum is σ = 196206192. Its totient is φ = 15301632.

The previous prime is 57901663. The next prime is 57901681. The reversal of 57901680 is 8610975.

57901680 is a `hidden beast` number, since 579 + 0 + 1 + 6 + 80 = 666.

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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57901681) 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, 98347 + ... + 98933.

Almost surely, 2^57901680 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 57901680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98103096).

57901680 is an abundant number, since it is smaller than the sum of its proper divisors (138304512).

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

57901680 is a wasteful number, since it uses less digits than its factorization.

57901680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 57901680 is about 7609.3153437087. The cubic root of 57901680 is about 386.8688135764.

The spelling of 57901680 in words is "fifty-seven million, nine hundred one thousand, six hundred eighty".