12963584 has 36 divisors (see below), whose sum is σ = 26244960. Its totient is φ = 6389760.

The previous prime is 12963583. The next prime is 12963589. The reversal of 12963584 is 48536921.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12963583) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19904 + ... + 20544.

Almost surely, 2^12963584 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 12963584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13122480).

12963584 is an abundant number, since it is smaller than the sum of its proper divisors (13281376).

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

12963584 is an frugal number, since it uses more digits than its factorization.

12963584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 722 counting only the distinct ones).

The product of its digits is 51840, while the sum is 38.

The square root of 12963584 is about 3600.4977433683. The cubic root of 12963584 is about 234.9137090758.

The spelling of 12963584 in words is "twelve million, nine hundred sixty-three thousand, five hundred eighty-four".