680964 has 12 divisors (see below), whose sum is σ = 1588944. Its totient is φ = 226984.

The previous prime is 680959. The next prime is 680971. The reversal of 680964 is 469086.

It is a tau number, because it is divible by the number of its divisors (12).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 680964.

It is an unprimeable number.

680964 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 3 ways as a sum of consecutive naturals, for example, 28362 + ... + 28385.

It is an arithmetic number, because the mean of its divisors is an integer number (132412).

2⁶⁸⁰⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

680964 is an abundant number, since it is smaller than the sum of its proper divisors (907980).

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

680964 is a wasteful number, since it uses less digits than its factorization.

680964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56754 (or 56752 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 680964 is about 825.2054289691. The cubic root of 680964 is about 87.9781281732.

The spelling of 680964 in words is "six hundred eighty thousand, nine hundred sixty-four".