686964 has 48 divisors (see below), whose sum is σ = 1774080. Its totient is φ = 205920.

The previous prime is 686963. The next prime is 686969. The reversal of 686964 is 469686.

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 686964.

It is not an unprimeable number, because it can be changed into a prime (686963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5179 + ... + 5309.

It is an arithmetic number, because the mean of its divisors is an integer number (36960).

2⁶⁸⁶⁹⁶⁴ 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 686964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887040).

686964 is an abundant number, since it is smaller than the sum of its proper divisors (1087116).

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

686964 is a wasteful number, since it uses less digits than its factorization.

686964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 178 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The square root of 686964 is about 828.8329144043. The cubic root of 686964 is about 88.2357658537.

The spelling of 686964 in words is "six hundred eighty-six thousand, nine hundred sixty-four".