12844832 has 96 divisors (see below), whose sum is σ = 34038144. Its totient is φ = 4608000.

The previous prime is 12844813. The next prime is 12844841. The reversal of 12844832 is 23844821.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 31832 + ... + 32232.

It is an arithmetic number, because the mean of its divisors is an integer number (354564).

Almost surely, 2^12844832 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 12844832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17019072).

12844832 is an abundant number, since it is smaller than the sum of its proper divisors (21193312).

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

12844832 is a wasteful number, since it uses less digits than its factorization.

12844832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 434 counting only the distinct ones).

The product of its digits is 12288, while the sum is 32.

The square root of 12844832 is about 3583.9687498638. The cubic root of 12844832 is about 234.1942040847.

It can be divided in two parts, 1284 and 4832, that added together give a palindrome (6116).

The spelling of 12844832 in words is "twelve million, eight hundred forty-four thousand, eight hundred thirty-two".