12433824 has 168 divisors, whose sum is σ = 40489092. Its totient is φ = 3732480.

The previous prime is 12433819. The next prime is 12433829. The reversal of 12433824 is 42833421.

It is an interprime number because it is at equal distance from previous prime (12433819) and next prime (12433829).

It can be written as a sum of positive squares in 2 ways, for example, as 9809424 + 2624400 = 3132^2 + 1620^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is not an unprimeable number, because it can be changed into a prime (12433829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 303244 + ... + 303284.

Almost surely, 2^12433824 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 12433824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20244546).

12433824 is an abundant number, since it is smaller than the sum of its proper divisors (28055268).

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

12433824 is an equidigital number, since it uses as much as digits as its factorization.

12433824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 59 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 12433824 is about 3526.1627869399. The cubic root of 12433824 is about 231.6691677754.

The spelling of 12433824 in words is "twelve million, four hundred thirty-three thousand, eight hundred twenty-four".