339264 has 84 divisors (see below), whose sum is σ = 1056640. Its totient is φ = 103680.

The previous prime is 339263. The next prime is 339289. The reversal of 339264 is 462933.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (339263) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 10929 + ... + 10959.

2³³⁹²⁶⁴ 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 339264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528320).

339264 is an abundant number, since it is smaller than the sum of its proper divisors (717376).

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

339264 is a wasteful number, since it uses less digits than its factorization.

339264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 55 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 339264 is about 582.4637327766. The cubic root of 339264 is about 69.7449219720.

It can be divided in two parts, 33926 and 4, that added together give a triangular number (33930 = T₂₆₀).

The spelling of 339264 in words is "three hundred thirty-nine thousand, two hundred sixty-four".