12884480 has 80 divisors (see below), whose sum is σ = 35354880. Its totient is φ = 4411392.

The previous prime is 12884471. The next prime is 12884507. The reversal of 12884480 is 8448821.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 12884480.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17561 + ... + 18279.

It is an arithmetic number, because the mean of its divisors is an integer number (441936).

Almost surely, 2^12884480 is an apocalyptic number.

12884480 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 12884480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17677440).

12884480 is an abundant number, since it is smaller than the sum of its proper divisors (22470400).

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

12884480 is an frugal number, since it uses more digits than its factorization.

12884480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 35.

The square root of 12884480 is about 3589.4957863187. The cubic root of 12884480 is about 234.4349181324.

The spelling of 12884480 in words is "twelve million, eight hundred eighty-four thousand, four hundred eighty".