686480 has 20 divisors (see below), whose sum is σ = 1596252. Its totient is φ = 274560.

The previous prime is 686479. The next prime is 686503. The reversal of 686480 is 84686.

It can be written as a sum of positive squares in 2 ways, for example, as 71824 + 614656 = 268^2 + 784^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 686480.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4211 + ... + 4370.

2⁶⁸⁶⁴⁸⁰ is an apocalyptic number.

It is an amenable number.

686480 is an abundant number, since it is smaller than the sum of its proper divisors (909772).

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

686480 is a wasteful number, since it uses less digits than its factorization.

686480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8594 (or 8588 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 686480 is about 828.5408861366. The cubic root of 686480 is about 88.2150388364.

The spelling of 686480 in words is "six hundred eighty-six thousand, four hundred eighty".