339648 has 56 divisors (see below), whose sum is σ = 944880. Its totient is φ = 107520.

The previous prime is 339637. The next prime is 339649. The reversal of 339648 is 846933.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 339648.

It is not an unprimeable number, because it can be changed into a prime (339649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5538 + ... + 5598.

2³³⁹⁶⁴⁸ 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 339648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472440).

339648 is an abundant number, since it is smaller than the sum of its proper divisors (605232).

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

339648 is a wasteful number, since it uses less digits than its factorization.

339648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 95 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 339648 is about 582.7932738116. The cubic root of 339648 is about 69.7712259240.

The spelling of 339648 in words is "three hundred thirty-nine thousand, six hundred forty-eight".