12808584 has 64 divisors (see below), whose sum is σ = 37464000. Its totient is φ = 4043520.

The previous prime is 12808583. The next prime is 12808589. The reversal of 12808584 is 48580821.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12808583) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2544 + ... + 5664.

It is an arithmetic number, because the mean of its divisors is an integer number (585375).

Almost surely, 2^12808584 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 12808584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18732000).

12808584 is an abundant number, since it is smaller than the sum of its proper divisors (24655416).

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

12808584 is a wasteful number, since it uses less digits than its factorization.

12808584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3155 (or 3145 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 12808584 is about 3578.9082134081. The cubic root of 12808584 is about 233.9736985560.

The spelling of 12808584 in words is "twelve million, eight hundred eight thousand, five hundred eighty-four".