683664 has 20 divisors (see below), whose sum is σ = 1766256. Its totient is φ = 227872.

The previous prime is 683653. The next prime is 683681. The reversal of 683664 is 466386.

It is a nude number because it is divisible by every one of its digits.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 683664.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7074 + ... + 7169.

2⁶⁸³⁶⁶⁴ is an apocalyptic number.

It is an amenable number.

683664 is an abundant number, since it is smaller than the sum of its proper divisors (1082592).

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

683664 is a wasteful number, since it uses less digits than its factorization.

683664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14254 (or 14248 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 683664 is about 826.8397668231. The cubic root of 683664 is about 88.0942516336.

The spelling of 683664 in words is "six hundred eighty-three thousand, six hundred sixty-four".