57814680 has 128 divisors (see below), whose sum is σ = 216276480. Its totient is φ = 12011520.

The previous prime is 57814657. The next prime is 57814681. The reversal of 57814680 is 8641875.

57814680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57814681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6112 + ... + 12368.

It is an arithmetic number, because the mean of its divisors is an integer number (1689660).

Almost surely, 2^57814680 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 57814680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108138240).

57814680 is an abundant number, since it is smaller than the sum of its proper divisors (158461800).

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

57814680 is a wasteful number, since it uses less digits than its factorization.

57814680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6289 (or 6285 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 57814680 is about 7603.5965174383. The cubic root of 57814680 is about 386.6749535811.

The spelling of 57814680 in words is "fifty-seven million, eight hundred fourteen thousand, six hundred eighty".