338960 has 40 divisors (see below), whose sum is σ = 833280. Its totient is φ = 127872.

The previous prime is 338959. The next prime is 338993. The reversal of 338960 is 69833.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×338960² = 229787763200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1409 + ... + 1631.

It is an arithmetic number, because the mean of its divisors is an integer number (20832).

2³³⁸⁹⁶⁰ 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 338960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416640).

338960 is an abundant number, since it is smaller than the sum of its proper divisors (494320).

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

338960 is a wasteful number, since it uses less digits than its factorization.

338960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 338960 is about 582.2027138377. The cubic root of 338960 is about 69.7240839301.

The spelling of 338960 in words is "three hundred thirty-eight thousand, nine hundred sixty".