680864 has 12 divisors (see below), whose sum is σ = 1340514. Its totient is φ = 340416.

The previous prime is 680861. The next prime is 680873. The reversal of 680864 is 468086.

It can be written as a sum of positive squares in only one way, i.e., 672400 + 8464 = 820^2 + 92^2 .

It is a Harshad number since it is a multiple of its sum of digits (32), and also a Moran number because the ratio is a prime number: 21277 = 680864 / (6 + 8 + 0 + 8 + 6 + 4).

It is a self number, because there is not a number n which added to its sum of digits gives 680864.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 680864.

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

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10607 + ... + 10670.

2⁶⁸⁰⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

680864 is a deficient number, since it is larger than the sum of its proper divisors (659650).

680864 is a wasteful number, since it uses less digits than its factorization.

680864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21287 (or 21279 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 680864 is about 825.1448357713. The cubic root of 680864 is about 87.9738214142.

The spelling of 680864 in words is "six hundred eighty thousand, eight hundred sixty-four".