686385 has 24 divisors (see below), whose sum is σ = 1360320. Its totient is φ = 313632.

The previous prime is 686363. The next prime is 686417. The reversal of 686385 is 583686.

686385 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 686385 - 2⁵ = 686353 is a prime.

It is a super-2 number, since 2×686385² = 942248736450, which contains 22 as substring.

It is a Curzon number.

686385 is a lucky number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 775 + ... + 1404.

It is an arithmetic number, because the mean of its divisors is an integer number (56680).

2⁶⁸⁶³⁸⁵ is an apocalyptic number.

It is an amenable number.

686385 is a deficient number, since it is larger than the sum of its proper divisors (673935).

686385 is a wasteful number, since it uses less digits than its factorization.

686385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2197 (or 2194 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 686385 is about 828.4835544536. The cubic root of 686385 is about 88.2109693732.

The spelling of 686385 in words is "six hundred eighty-six thousand, three hundred eighty-five".