338720 has 48 divisors (see below), whose sum is σ = 839160. Its totient is φ = 129024.

The previous prime is 338717. The next prime is 338731. The reversal of 338720 is 27833.

338720 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 4 ways, for example, as 283024 + 55696 = 532^2 + 236^2 .

It is a super-2 number, since 2×338720² = 229462476800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4604 + ... + 4676.

2³³⁸⁷²⁰ 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 338720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419580).

338720 is an abundant number, since it is smaller than the sum of its proper divisors (500440).

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

338720 is a wasteful number, since it uses less digits than its factorization.

338720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 338720 is about 581.9965635637. The cubic root of 338720 is about 69.7076240419.

The spelling of 338720 in words is "three hundred thirty-eight thousand, seven hundred twenty".