12552584 has 32 divisors (see below), whose sum is σ = 26071200. Its totient is φ = 5617920.

The previous prime is 12552581. The next prime is 12552599. The reversal of 12552584 is 48525521.

12552584 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12552584.

It is not an unprimeable number, because it can be changed into a prime (12552581) 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, 4832 + ... + 6960.

It is an arithmetic number, because the mean of its divisors is an integer number (814725).

Almost surely, 2^12552584 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 12552584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13035600).

12552584 is an abundant number, since it is smaller than the sum of its proper divisors (13518616).

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

12552584 is a wasteful number, since it uses less digits than its factorization.

12552584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2213 (or 2209 counting only the distinct ones).

The product of its digits is 16000, while the sum is 32.

The square root of 12552584 is about 3542.9626021170. The cubic root of 12552584 is about 232.4044174880.

The spelling of 12552584 in words is "twelve million, five hundred fifty-two thousand, five hundred eighty-four".