57687280 has 80 divisors (see below), whose sum is σ = 158275584. Its totient is φ = 19134720.

The previous prime is 57687277. The next prime is 57687281. The reversal of 57687280 is 8278675.

It is a happy number.

57687280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57687281) 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 15 ways as a sum of consecutive naturals, for example, 15699 + ... + 19021.

Almost surely, 2^57687280 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 57687280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79137792).

57687280 is an abundant number, since it is smaller than the sum of its proper divisors (100588304).

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

57687280 is a wasteful number, since it uses less digits than its factorization.

57687280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3374 (or 3368 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 43.

The square root of 57687280 is about 7595.2142826914. The cubic root of 57687280 is about 386.3907200140.

The spelling of 57687280 in words is "fifty-seven million, six hundred eighty-seven thousand, two hundred eighty".