338624 has 56 divisors (see below), whose sum is σ = 810768. Its totient is φ = 138240.

The previous prime is 338609. The next prime is 338659. The reversal of 338624 is 426833.

It is a super-2 number, since 2×338624² = 229332426752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 338593 and 338602.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 338624.

It is an unprimeable number.

338624 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9134 + ... + 9170.

It is an arithmetic number, because the mean of its divisors is an integer number (14478).

2³³⁸⁶²⁴ 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 338624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405384).

338624 is an abundant number, since it is smaller than the sum of its proper divisors (472144).

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

338624 is a wasteful number, since it uses less digits than its factorization.

338624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 63 counting only the distinct ones).

The product of its digits is 3456, while the sum is 26.

The square root of 338624 is about 581.9140830054. The cubic root of 338624 is about 69.7010379096.

Subtracting 338624 from its reverse (426833), we obtain a square (88209 = 297²).

The spelling of 338624 in words is "three hundred thirty-eight thousand, six hundred twenty-four".