338560 has 48 divisors (see below), whose sum is σ = 846090. Its totient is φ = 129536.

The previous prime is 338543. The next prime is 338563. The reversal of 338560 is 65833.

It can be written as a sum of positive squares in only one way, i.e., 304704 + 33856 = 552^2 + 184^2 .

It is a super-2 number, since 2×338560² = 229245747200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338563) by changing a digit.

338560 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 5 ways as a sum of consecutive naturals, for example, 14709 + ... + 14731.

2³³⁸⁵⁶⁰ 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 338560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423045).

338560 is an abundant number, since it is smaller than the sum of its proper divisors (507530).

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

338560 is an equidigital number, since it uses as much as digits as its factorization.

338560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 338560 is about 581.8590894710. The cubic root of 338560 is about 69.6966464631.

Subtracting from 338560 its product of nonzero digits (2160), we obtain a square (336400 = 580²).

It can be divided in two parts, 338 and 560, that added together give a palindrome (898).

The spelling of 338560 in words is "three hundred thirty-eight thousand, five hundred sixty".