683964 has 30 divisors (see below), whose sum is σ = 1788864. Its totient is φ = 227880.

The previous prime is 683957. The next prime is 683983. The reversal of 683964 is 469386.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 732 + ... + 1379.

2⁶⁸³⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

683964 is an abundant number, since it is smaller than the sum of its proper divisors (1104900).

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

683964 is a wasteful number, since it uses less digits than its factorization.

683964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2127 (or 2116 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 683964 is about 827.0211605515. The cubic root of 683964 is about 88.1071353556.

It can be divided in two parts, 6839 and 64, that added together give a triangular number (6903 = T₁₁₇).

The spelling of 683964 in words is "six hundred eighty-three thousand, nine hundred sixty-four".