338768 has 20 divisors (see below), whose sum is σ = 678528. Its totient is φ = 163680.

The previous prime is 338761. The next prime is 338773. The reversal of 338768 is 867833.

338768 is an admirable number.

It is a super-2 number, since 2×338768² = 229527515648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338761) by changing a digit.

338768 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 3 ways as a sum of consecutive naturals, for example, 155 + ... + 837.

2³³⁸⁷⁶⁸ 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 338768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339264).

338768 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

338768 is a wasteful number, since it uses less digits than its factorization.

338768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 716 counting only the distinct ones).

The product of its digits is 24192, while the sum is 35.

The square root of 338768 is about 582.0377994598. The cubic root of 338768 is about 69.7109166414.

The spelling of 338768 in words is "three hundred thirty-eight thousand, seven hundred sixty-eight".