339696 has 60 divisors (see below), whose sum is σ = 1089712. Its totient is φ = 96768.

The previous prime is 339679. The next prime is 339707. The reversal of 339696 is 696933.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a d-powerful number, because it can be written as 3⁵ + 3⁵ + 6³ + 9 + 9⁵ + 6⁷ .

It is a self number, because there is not a number n which added to its sum of digits gives 339696.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 339696.

It is an unprimeable number.

339696 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 11 ways as a sum of consecutive naturals, for example, 840 + ... + 1176.

2³³⁹⁶⁹⁶ is an apocalyptic number.

339696 is a gapful number since it is divisible by the number (36) 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 339696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544856).

339696 is an abundant number, since it is smaller than the sum of its proper divisors (750016).

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

339696 is a wasteful number, since it uses less digits than its factorization.

339696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 349 counting only the distinct ones).

The product of its digits is 26244, while the sum is 36.

The square root of 339696 is about 582.8344533399. The cubic root of 339696 is about 69.7745125237.

Adding to 339696 its product of digits (26244), we get a triangular number (365940 = T₈₅₅).

It can be divided in two parts, 339 and 696, that added together give a triangular number (1035 = T₄₅).

The spelling of 339696 in words is "three hundred thirty-nine thousand, six hundred ninety-six".