12563424 has 120 divisors (see below), whose sum is σ = 38236968. Its totient is φ = 4043520.

The previous prime is 12563417. The next prime is 12563437. The reversal of 12563424 is 42436521.

12563424 is a `hidden beast` number, since 1 + 2 + 5 + 634 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 95839 + ... + 95969.

Almost surely, 2^12563424 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 12563424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19118484).

12563424 is an abundant number, since it is smaller than the sum of its proper divisors (25673544).

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

12563424 is a wasteful number, since it uses less digits than its factorization.

With its successor (12563425) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (173).

12563424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 173 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 12563424 is about 3544.4920651625. The cubic root of 12563424 is about 232.4712971851.

Adding to 12563424 its reverse (42436521), we get a palindrome (54999945).

The spelling of 12563424 in words is "twelve million, five hundred sixty-three thousand, four hundred twenty-four".