338604 has 48 divisors (see below), whose sum is σ = 940800. Its totient is φ = 92736.

The previous prime is 338581. The next prime is 338609. The reversal of 338604 is 406833.

It is a super-2 number, since 2×338604² = 229305337632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338609) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2367 + ... + 2505.

It is an arithmetic number, because the mean of its divisors is an integer number (19600).

2³³⁸⁶⁰⁴ 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 338604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470400).

338604 is an abundant number, since it is smaller than the sum of its proper divisors (602196).

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

338604 is a wasteful number, since it uses less digits than its factorization.

338604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 180 counting only the distinct ones).

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

The square root of 338604 is about 581.8968980842. The cubic root of 338604 is about 69.6996656420.

Multiplying 338604 by its sum of digits (24), we get a triangular number (8126496 = T₄₀₃₁).

The spelling of 338604 in words is "three hundred thirty-eight thousand, six hundred four".