683984 has 40 divisors (see below), whose sum is σ = 1571328. Its totient is φ = 282240.

The previous prime is 683983. The next prime is 684007. The reversal of 683984 is 489386.

It is a super-2 number, since 2×683984² = 935668224512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (683983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3374 + ... + 3570.

2⁶⁸³⁹⁸⁴ 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 683984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785664).

683984 is an abundant number, since it is smaller than the sum of its proper divisors (887344).

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

683984 is a wasteful number, since it uses less digits than its factorization.

683984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 237 counting only the distinct ones).

The product of its digits is 41472, while the sum is 38.

The square root of 683984 is about 827.0332520522. The cubic root of 683984 is about 88.1079941365.

The spelling of 683984 in words is "six hundred eighty-three thousand, nine hundred eighty-four".