339872 has 48 divisors (see below), whose sum is σ = 776160. Its totient is φ = 145152.

The previous prime is 339863. The next prime is 339887. The reversal of 339872 is 278933.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 339872.

It is an unprimeable number.

339872 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 7 ways as a sum of consecutive naturals, for example, 7883 + ... + 7925.

It is an arithmetic number, because the mean of its divisors is an integer number (16170).

2³³⁹⁸⁷² is an apocalyptic number.

339872 is a gapful number since it is divisible by the number (32) 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 339872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388080).

339872 is an abundant number, since it is smaller than the sum of its proper divisors (436288).

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

339872 is a wasteful number, since it uses less digits than its factorization.

339872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 77 counting only the distinct ones).

The product of its digits is 9072, while the sum is 32.

The square root of 339872 is about 582.9854200578. The cubic root of 339872 is about 69.7865607413.

The spelling of 339872 in words is "three hundred thirty-nine thousand, eight hundred seventy-two".