12553824 has 24 divisors (see below), whose sum is σ = 32954040. Its totient is φ = 4184576.

The previous prime is 12553819. The next prime is 12553829. The reversal of 12553824 is 42835521.

It is an interprime number because it is at equal distance from previous prime (12553819) and next prime (12553829).

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 12553791 and 12553800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12553829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 65289 + ... + 65480.

It is an arithmetic number, because the mean of its divisors is an integer number (1373085).

Almost surely, 2^12553824 is an apocalyptic number.

It is an amenable number.

12553824 is an abundant number, since it is smaller than the sum of its proper divisors (20400216).

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

12553824 is a wasteful number, since it uses less digits than its factorization.

12553824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130782 (or 130774 counting only the distinct ones).

The product of its digits is 9600, while the sum is 30.

The square root of 12553824 is about 3543.1375925865. The cubic root of 12553824 is about 232.4120698829.

The spelling of 12553824 in words is "twelve million, five hundred fifty-three thousand, eight hundred twenty-four".