338664 has 32 divisors (see below), whose sum is σ = 861120. Its totient is φ = 110976.

The previous prime is 338659. The next prime is 338669. The reversal of 338664 is 466833.

338664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (338659) and next prime (338669).

It is a super-2 number, since 2×338664² = 229386609792, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 338664.

It is not an unprimeable number, because it can be changed into a prime (338669) by changing a digit.

338664 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 7 ways as a sum of consecutive naturals, for example, 2404 + ... + 2540.

It is an arithmetic number, because the mean of its divisors is an integer number (26910).

2³³⁸⁶⁶⁴ is an apocalyptic number.

It is an amenable number.

338664 is an abundant number, since it is smaller than the sum of its proper divisors (522456).

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

338664 is a wasteful number, since it uses less digits than its factorization.

338664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 245 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 338664 is about 581.9484513254. The cubic root of 338664 is about 69.7037822827.

The spelling of 338664 in words is "three hundred thirty-eight thousand, six hundred sixty-four".