339984 has 40 divisors (see below), whose sum is σ = 977120. Its totient is φ = 113184.

The previous prime is 339959. The next prime is 339991. The reversal of 339984 is 489933.

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

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 339984.

It is an unprimeable number.

339984 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39 + ... + 825.

It is an arithmetic number, because the mean of its divisors is an integer number (24428).

2³³⁹⁹⁸⁴ 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 339984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488560).

339984 is an abundant number, since it is smaller than the sum of its proper divisors (637136).

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

339984 is a wasteful number, since it uses less digits than its factorization.

339984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 792 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 339984 is about 583.0814694363. The cubic root of 339984 is about 69.7942256234.

The spelling of 339984 in words is "three hundred thirty-nine thousand, nine hundred eighty-four".