983904 has 48 divisors (see below), whose sum is σ = 2662128. Its totient is φ = 317952.

The previous prime is 983881. The next prime is 983911. The reversal of 983904 is 409389.

It is a tau number, because it is divible by the number of its divisors (48).

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 983904.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3414 + ... + 3690.

It is an arithmetic number, because the mean of its divisors is an integer number (55461).

2⁹⁸³⁹⁰⁴ 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 983904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1331064).

983904 is an abundant number, since it is smaller than the sum of its proper divisors (1678224).

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

983904 is a wasteful number, since it uses less digits than its factorization.

983904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 983904 is about 991.9193515604. The cubic root of 983904 is about 99.4605619652.

The spelling of 983904 in words is "nine hundred eighty-three thousand, nine hundred four".