12755584 has 32 divisors (see below), whose sum is σ = 25581600. Its totient is φ = 6335232.

The previous prime is 12755581. The next prime is 12755591. The reversal of 12755584 is 48555721.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (12755581) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 28837 + ... + 29275.

It is an arithmetic number, because the mean of its divisors is an integer number (799425).

Almost surely, 2^12755584 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 12755584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12790800).

12755584 is an abundant number, since it is smaller than the sum of its proper divisors (12826016).

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

12755584 is an equidigital number, since it uses as much as digits as its factorization.

12755584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 668 counting only the distinct ones).

The product of its digits is 56000, while the sum is 37.

The square root of 12755584 is about 3571.4960450769. The cubic root of 12755584 is about 233.6505363860.

It can be divided in two parts, 1275 and 5584, that added together give a cube (6859 = 19³).

The spelling of 12755584 in words is "twelve million, seven hundred fifty-five thousand, five hundred eighty-four".