686907 has 32 divisors (see below), whose sum is σ = 1164800. Its totient is φ = 396576.

The previous prime is 686897. The next prime is 686911. The reversal of 686907 is 709686.

It is not a de Polignac number, because 686907 - 2⁴ = 686891 is a prime.

It is a super-3 number, since 3×686907³ = 972333124421353929, which contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (686947) 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 31 ways as a sum of consecutive naturals, for example, 6618 + ... + 6720.

It is an arithmetic number, because the mean of its divisors is an integer number (36400).

2⁶⁸⁶⁹⁰⁷ is an apocalyptic number.

686907 is a deficient number, since it is larger than the sum of its proper divisors (477893).

686907 is a wasteful number, since it uses less digits than its factorization.

686907 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 686907 is about 828.7985279910. The cubic root of 686907 is about 88.2333253678.

The spelling of 686907 in words is "six hundred eighty-six thousand, nine hundred seven".