338064 has 20 divisors (see below), whose sum is σ = 873456. Its totient is φ = 112672.

The previous prime is 338033. The next prime is 338119. The reversal of 338064 is 460833.

It is a super-2 number, since 2×338064² = 228574536192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 338064.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3474 + ... + 3569.

2³³⁸⁰⁶⁴ is an apocalyptic number.

It is an amenable number.

338064 is an abundant number, since it is smaller than the sum of its proper divisors (535392).

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

338064 is a wasteful number, since it uses less digits than its factorization.

338064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7054 (or 7048 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 338064 is about 581.4327132180. The cubic root of 338064 is about 69.6625939740.

Adding to 338064 its reverse (460833), we get a palindrome (798897).

The spelling of 338064 in words is "three hundred thirty-eight thousand, sixty-four".