683904 has 64 divisors (see below), whose sum is σ = 1970640. Its totient is φ = 208896.

The previous prime is 683899. The next prime is 683909. The reversal of 683904 is 409386.

It is an interprime number because it is at equal distance from previous prime (683899) and next prime (683909).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (683909) by changing a digit.

683904 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 7 ways as a sum of consecutive naturals, for example, 4924 + ... + 5060.

2⁶⁸³⁹⁰⁴ is an apocalyptic number.

683904 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 683904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (985320).

683904 is an abundant number, since it is smaller than the sum of its proper divisors (1286736).

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

683904 is a wasteful number, since it uses less digits than its factorization.

683904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 683904 is about 826.9848849888. The cubic root of 683904 is about 88.1045589127.

The spelling of 683904 in words is "six hundred eighty-three thousand, nine hundred four".