680904 has 72 divisors (see below), whose sum is σ = 2156310. Its totient is φ = 193536.

The previous prime is 680881. The next prime is 680917. The reversal of 680904 is 409086.

It can be written as a sum of positive squares in only one way, i.e., 636804 + 44100 = 798^2 + 210^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a zygodrome in base 6.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 680904.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3432 + ... + 3624.

2⁶⁸⁰⁹⁰⁴ 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 680904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078155).

680904 is an abundant number, since it is smaller than the sum of its proper divisors (1475406).

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

680904 is a wasteful number, since it uses less digits than its factorization.

680904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 680904 is about 825.1690735843. The cubic root of 680904 is about 87.9755441684.

The spelling of 680904 in words is "six hundred eighty thousand, nine hundred four".