686560 has 48 divisors (see below), whose sum is σ = 1856736. Its totient is φ = 235008.

The previous prime is 686551. The next prime is 686563. The reversal of 686560 is 65686.

686560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (686563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 814 + ... + 1426.

It is an arithmetic number, because the mean of its divisors is an integer number (38682).

2⁶⁸⁶⁵⁶⁰ 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 686560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928368).

686560 is an abundant number, since it is smaller than the sum of its proper divisors (1170176).

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

686560 is a wasteful number, since it uses less digits than its factorization.

686560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 686560 is about 828.5891623718. The cubic root of 686560 is about 88.2184654616.

The spelling of 686560 in words is "six hundred eighty-six thousand, five hundred sixty".