12561584 has 40 divisors (see below), whose sum is σ = 29283840. Its totient is φ = 5099328.

The previous prime is 12561551. The next prime is 12561599. The reversal of 12561584 is 48516521.

It is a self number, because there is not a number n which added to its sum of digits gives 12561584.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 824 + ... + 5079.

It is an arithmetic number, because the mean of its divisors is an integer number (732096).

Almost surely, 2^12561584 is an apocalyptic number.

12561584 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12561584 is an abundant number, since it is smaller than the sum of its proper divisors (16722256).

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

12561584 is a wasteful number, since it uses less digits than its factorization.

12561584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5937 (or 5931 counting only the distinct ones).

The product of its digits is 9600, while the sum is 32.

The square root of 12561584 is about 3544.2324980170. The cubic root of 12561584 is about 232.4599476233.

The spelling of 12561584 in words is "twelve million, five hundred sixty-one thousand, five hundred eighty-four".