587680 has 24 divisors (see below), whose sum is σ = 1388772. Its totient is φ = 235008.

The previous prime is 587677. The next prime is 587687. The reversal of 587680 is 86785.

587680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 524176 + 63504 = 724^2 + 252^2 .

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (587687) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1677 + ... + 1996.

2⁵⁸⁷⁶⁸⁰ is an apocalyptic number.

It is an amenable number.

587680 is an abundant number, since it is smaller than the sum of its proper divisors (801092).

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

587680 is a wasteful number, since it uses less digits than its factorization.

587680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3688 (or 3680 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The square root of 587680 is about 766.6028958985. The cubic root of 587680 is about 83.7619868489.

The spelling of 587680 in words is "five hundred eighty-seven thousand, six hundred eighty".