57191680 has 144 divisors (see below), whose sum is σ = 168948864. Its totient is φ = 18063360.

The previous prime is 57191657. The next prime is 57191711. The reversal of 57191680 is 8619175.

It is a super-2 number, since 2×57191680² = 6541776522444800, which contains 22 as substring.

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, 116235 + ... + 116725.

It is an arithmetic number, because the mean of its divisors is an integer number (1173256).

Almost surely, 2^57191680 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 57191680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84474432).

57191680 is an abundant number, since it is smaller than the sum of its proper divisors (111757184).

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

57191680 is a wasteful number, since it uses less digits than its factorization.

57191680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 37.

The square root of 57191680 is about 7562.5180991519. The cubic root of 57191680 is about 385.2810226865.

The spelling of 57191680 in words is "fifty-seven million, one hundred ninety-one thousand, six hundred eighty".