13385824 has 24 divisors (see below), whose sum is σ = 26435808. Its totient is φ = 6672000.

The previous prime is 13385821. The next prime is 13385837. The reversal of 13385824 is 42858331.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 13385824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13385821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17449 + ... + 18199.

It is an arithmetic number, because the mean of its divisors is an integer number (1101492).

Almost surely, 2^13385824 is an apocalyptic number.

It is an amenable number.

13385824 is a deficient number, since it is larger than the sum of its proper divisors (13049984).

13385824 is an equidigital number, since it uses as much as digits as its factorization.

13385824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318 (or 1310 counting only the distinct ones).

The product of its digits is 23040, while the sum is 34.

The square root of 13385824 is about 3658.6642371226. The cubic root of 13385824 is about 237.4369856830.

The spelling of 13385824 in words is "thirteen million, three hundred eighty-five thousand, eight hundred twenty-four".