680868 has 18 divisors (see below), whose sum is σ = 1721174. Its totient is φ = 226944.

The previous prime is 680861. The next prime is 680873. The reversal of 680868 is 868086.

It can be written as a sum of positive squares in only one way, i.e., 675684 + 5184 = 822^2 + 72^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 18913 = 680868 / (6 + 8 + 0 + 8 + 6 + 8).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 680868.

It is not an unprimeable number, because it can be changed into a prime (680861) by changing a digit.

680868 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 5 ways as a sum of consecutive naturals, for example, 9421 + ... + 9492.

2⁶⁸⁰⁸⁶⁸ is an apocalyptic number.

It is an amenable number.

680868 is an abundant number, since it is smaller than the sum of its proper divisors (1040306).

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

680868 is a wasteful number, since it uses less digits than its factorization.

680868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18923 (or 18918 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 680868 is about 825.1472595846. The cubic root of 680868 is about 87.9739936926.

The spelling of 680868 in words is "six hundred eighty thousand, eight hundred sixty-eight".