305984 has 28 divisors (see below), whose sum is σ = 694944. Its totient is φ = 130944.

The previous prime is 305971. The next prime is 305999. The reversal of 305984 is 489503.

It is a tau number, because it is divible by the number of its divisors (28).

It is an Ulam number.

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 305984.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 107 + ... + 789.

2³⁰⁵⁹⁸⁴ 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 305984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347472).

305984 is an abundant number, since it is smaller than the sum of its proper divisors (388960).

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

305984 is an equidigital number, since it uses as much as digits as its factorization.

305984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 305984 is about 553.1582052180. The cubic root of 305984 is about 67.3854664927.

The spelling of 305984 in words is "three hundred five thousand, nine hundred eighty-four".