57271680 has 192 divisors, whose sum is σ = 202241520. Its totient is φ = 14929920.

The previous prime is 57271673. The next prime is 57271693. The reversal of 57271680 is 8617275.

57271680 is a `hidden beast` number, since 572 + 7 + 1 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 351279 + ... + 351441.

Almost surely, 2^57271680 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 57271680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101120760).

57271680 is an abundant number, since it is smaller than the sum of its proper divisors (144969840).

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

57271680 is a wasteful number, since it uses less digits than its factorization.

57271680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 57271680 is about 7567.8054943293. The cubic root of 57271680 is about 385.4605833116.

The spelling of 57271680 in words is "fifty-seven million, two hundred seventy-one thousand, six hundred eighty".