336224 has 48 divisors (see below), whose sum is σ = 806400. Its totient is φ = 134784.

The previous prime is 336223. The next prime is 336227. The reversal of 336224 is 422633.

It is a super-2 number, since 2×336224² = 226093156352, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 336196 and 336205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (336221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4217 + ... + 4295.

It is an arithmetic number, because the mean of its divisors is an integer number (16800).

2³³⁶²²⁴ 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 336224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403200).

336224 is an abundant number, since it is smaller than the sum of its proper divisors (470176).

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

336224 is a wasteful number, since it uses less digits than its factorization.

336224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 107 counting only the distinct ones).

The product of its digits is 864, while the sum is 20.

The square root of 336224 is about 579.8482560119. The cubic root of 336224 is about 69.5359784732.

Adding to 336224 its reverse (422633), we get a palindrome (758857).

The spelling of 336224 in words is "three hundred thirty-six thousand, two hundred twenty-four".