685608 has 96 divisors (see below), whose sum is σ = 2216160. Its totient is φ = 174720.

The previous prime is 685591. The next prime is 685609. The reversal of 685608 is 806586.

685608 is nontrivially palindromic in base 13.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (685609) by changing a digit.

685608 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 23 ways as a sum of consecutive naturals, for example, 12910 + ... + 12962.

It is an arithmetic number, because the mean of its divisors is an integer number (23085).

2⁶⁸⁵⁶⁰⁸ 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 685608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1108080).

685608 is an abundant number, since it is smaller than the sum of its proper divisors (1530552).

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

685608 is a wasteful number, since it uses less digits than its factorization.

685608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 76 counting only the distinct ones).

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

The square root of 685608 is about 828.0144926268. The cubic root of 685608 is about 88.1776713445.

The spelling of 685608 in words is "six hundred eighty-five thousand, six hundred eight".