12493584 has 60 divisors (see below), whose sum is σ = 35646156. Its totient is φ = 4083456.

The previous prime is 12493573. The next prime is 12493597. The reversal of 12493584 is 48539421.

It can be written as a sum of positive squares in 2 ways, for example, as 3920400 + 8573184 = 1980^2 + 2928^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6814 + ... + 8450.

Almost surely, 2^12493584 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 12493584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17823078).

12493584 is an abundant number, since it is smaller than the sum of its proper divisors (23152572).

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

12493584 is a wasteful number, since it uses less digits than its factorization.

12493584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1704 (or 1695 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 12493584 is about 3534.6264300489. The cubic root of 12493584 is about 232.0397276398.

The spelling of 12493584 in words is "twelve million, four hundred ninety-three thousand, five hundred eighty-four".