12844480 has 112 divisors (see below), whose sum is σ = 34564320. Its totient is φ = 4505600.

The previous prime is 12844463. The next prime is 12844483. The reversal of 12844480 is 8444821.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12844483) 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 15 ways as a sum of consecutive naturals, for example, 144276 + ... + 144364.

It is an arithmetic number, because the mean of its divisors is an integer number (308610).

Almost surely, 2^12844480 is an apocalyptic number.

12844480 is a gapful number since it is divisible by the number (10) 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 12844480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17282160).

12844480 is an abundant number, since it is smaller than the sum of its proper divisors (21719840).

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

12844480 is a wasteful number, since it uses less digits than its factorization.

12844480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 31.

The square root of 12844480 is about 3583.9196419563. The cubic root of 12844480 is about 234.1920647778.

The spelling of 12844480 in words is "twelve million, eight hundred forty-four thousand, four hundred eighty".