686580 has 24 divisors (see below), whose sum is σ = 1922592. Its totient is φ = 183072.

The previous prime is 686563. The next prime is 686593. The reversal of 686580 is 85686.

686580 is nontrivially palindromic in base 11.

It is a congruent number.

It is an unprimeable number.

686580 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5662 + ... + 5781.

It is an arithmetic number, because the mean of its divisors is an integer number (80108).

2⁶⁸⁶⁵⁸⁰ is an apocalyptic number.

686580 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

686580 is an abundant number, since it is smaller than the sum of its proper divisors (1236012).

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

686580 is a wasteful number, since it uses less digits than its factorization.

686580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11455 (or 11453 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 686580 is about 828.6012309911. The cubic root of 686580 is about 88.2193220763.

The spelling of 686580 in words is "six hundred eighty-six thousand, five hundred eighty".