339360 has 96 divisors (see below), whose sum is σ = 1233792. Its totient is φ = 76800.

The previous prime is 339341. The next prime is 339373. The reversal of 339360 is 63933.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 339360.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3310 + ... + 3410.

It is an arithmetic number, because the mean of its divisors is an integer number (12852).

2³³⁹³⁶⁰ is an apocalyptic number.

339360 is a gapful number since it is divisible by the number (30) 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 339360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616896).

339360 is an abundant number, since it is smaller than the sum of its proper divisors (894432).

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

339360 is a wasteful number, since it uses less digits than its factorization.

339360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 24.

The square root of 339360 is about 582.5461355120. The cubic root of 339360 is about 69.7514998200.

The spelling of 339360 in words is "three hundred thirty-nine thousand, three hundred sixty".