57666880 has 56 divisors (see below), whose sum is σ = 138001248. Its totient is φ = 22952448.

The previous prime is 57666863. The next prime is 57666883. The reversal of 57666880 is 8866675.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 57666880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57666883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97947 + ... + 98533.

It is an arithmetic number, because the mean of its divisors is an integer number (2464308).

Almost surely, 2^57666880 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 57666880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69000624).

57666880 is an abundant number, since it is smaller than the sum of its proper divisors (80334368).

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

57666880 is a wasteful number, since it uses less digits than its factorization.

57666880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 46.

The square root of 57666880 is about 7593.8712130244. The cubic root of 57666880 is about 386.3451680886.

The spelling of 57666880 in words is "fifty-seven million, six hundred sixty-six thousand, eight hundred eighty".