339968 has 26 divisors (see below), whose sum is σ = 688044. Its totient is φ = 167936.

The previous prime is 339959. The next prime is 339991. The reversal of 339968 is 869933.

It is a happy number.

339968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×339968³ = 117878710333341696, which contains 333 as substring.

It is a d-powerful number, because it can be written as 3 + 3⁵ + 9³ + 9⁵ + 6⁷ + 8 .

It is a nialpdrome in base 13 and base 16.

It is an unprimeable number.

339968 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 as a sum of consecutive naturals, namely, 4055 + ... + 4137.

339968 is a Friedman number, since it can be written as 83*(9/9+3)^6, using all its digits and the basic arithmetic operations.

2³³⁹⁹⁶⁸ 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 339968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344022).

339968 is an abundant number, since it is smaller than the sum of its proper divisors (348076).

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

339968 is an frugal number, since it uses more digits than its factorization.

339968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 85 counting only the distinct ones).

The product of its digits is 34992, while the sum is 38.

The square root of 339968 is about 583.0677490652. The cubic root of 339968 is about 69.7931307433.

It can be divided in two parts, 3399 and 68, that multiplied together give a palindrome (231132).

The spelling of 339968 in words is "three hundred thirty-nine thousand, nine hundred sixty-eight".