12844032 has 88 divisors (see below), whose sum is σ = 35470416. Its totient is φ = 4128768.

The previous prime is 12844031. The next prime is 12844049. The reversal of 12844032 is 23044821.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 12843993 and 12844011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12844031) 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, 113608 + ... + 113720.

Almost surely, 2^12844032 is an apocalyptic number.

12844032 is a gapful number since it is divisible by the number (12) 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 12844032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17735208).

12844032 is an abundant number, since it is smaller than the sum of its proper divisors (22626384).

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

12844032 is a wasteful number, since it uses less digits than its factorization.

12844032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 12844032 is about 3583.8571400099. The cubic root of 12844032 is about 234.1893419671.

Adding to 12844032 its reverse (23044821), we get a palindrome (35888853).

The spelling of 12844032 in words is "twelve million, eight hundred forty-four thousand, thirty-two".