12493824 has 132 divisors (see below), whose sum is σ = 39204144. Its totient is φ = 3526656.

The previous prime is 12493783. The next prime is 12493829. The reversal of 12493824 is 42839421.

It is not an unprimeable number, because it can be changed into a prime (12493829) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150487 + ... + 150569.

Almost surely, 2^12493824 is an apocalyptic number.

12493824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12493824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19602072).

12493824 is an abundant number, since it is smaller than the sum of its proper divisors (26710320).

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

12493824 is an equidigital number, since it uses as much as digits as its factorization.

12493824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 95 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 12493824 is about 3534.6603797253. The cubic root of 12493824 is about 232.0412134472.

The spelling of 12493824 in words is "twelve million, four hundred ninety-three thousand, eight hundred twenty-four".