339120 has 80 divisors (see below), whose sum is σ = 1175520. Its totient is φ = 89856.

The previous prime is 339107. The next prime is 339121. The reversal of 339120 is 21933.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 339093 and 339102.

It is not an unprimeable number, because it can be changed into a prime (339121) by changing a digit.

339120 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2082 + ... + 2238.

It is an arithmetic number, because the mean of its divisors is an integer number (14694).

2³³⁹¹²⁰ is an apocalyptic number.

339120 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 339120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587760).

339120 is an abundant number, since it is smaller than the sum of its proper divisors (836400).

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

339120 is a wasteful number, since it uses less digits than its factorization.

339120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 339120 is about 582.3401068104. The cubic root of 339120 is about 69.7350528730.

The spelling of 339120 in words is "three hundred thirty-nine thousand, one hundred twenty".