57667680 has 192 divisors, whose sum is σ = 230791680. Its totient is φ = 13174272.

The previous prime is 57667661. The next prime is 57667681. The reversal of 57667680 is 8676675.

57667680 is a `hidden beast` number, since 576 + 6 + 76 + 8 + 0 = 666.

It is a super-2 number, since 2×57667680² = 6651122633164800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57667681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29287 + ... + 31193.

It is an arithmetic number, because the mean of its divisors is an integer number (1202040).

Almost surely, 2^57667680 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 57667680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115395840).

57667680 is an abundant number, since it is smaller than the sum of its proper divisors (173124000).

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

57667680 is a wasteful number, since it uses less digits than its factorization.

57667680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1938 (or 1924 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 57667680 is about 7593.9238868980. The cubic root of 57667680 is about 386.3469546410.

The spelling of 57667680 in words is "fifty-seven million, six hundred sixty-seven thousand, six hundred eighty".