12838224 has 80 divisors (see below), whose sum is σ = 39918080. Its totient is φ = 3473280.

The previous prime is 12838219. The next prime is 12838237. The reversal of 12838224 is 42283821.

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

Its product of digits (6144) is a multiple of the sum of its prime factors (2048).

It is a junction number, because it is equal to n+sod(n) for n = 12838191 and 12838200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5379 + ... + 7389.

It is an arithmetic number, because the mean of its divisors is an integer number (498976).

Almost surely, 2^12838224 is an apocalyptic number.

12838224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12838224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19959040).

12838224 is an abundant number, since it is smaller than the sum of its proper divisors (27079856).

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

12838224 is a wasteful number, since it uses less digits than its factorization.

12838224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2048 (or 2042 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 12838224 is about 3583.0467482298. The cubic root of 12838224 is about 234.1540369380.

The spelling of 12838224 in words is "twelve million, eight hundred thirty-eight thousand, two hundred twenty-four".