13643824 has 40 divisors (see below), whose sum is σ = 28601840. Its totient is φ = 6283008.

The previous prime is 13643801. The next prime is 13643827. The reversal of 13643824 is 42834631.

It is not an unprimeable number, because it can be changed into a prime (13643827) 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 7 ways as a sum of consecutive naturals, for example, 10642 + ... + 11854.

It is an arithmetic number, because the mean of its divisors is an integer number (715046).

Almost surely, 2^13643824 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 13643824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14300920).

13643824 is an abundant number, since it is smaller than the sum of its proper divisors (14958016).

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

13643824 is a wasteful number, since it uses less digits than its factorization.

13643824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277 (or 1271 counting only the distinct ones).

The product of its digits is 13824, while the sum is 31.

The square root of 13643824 is about 3693.7547292694. The cubic root of 13643824 is about 238.9527517578.

The spelling of 13643824 in words is "thirteen million, six hundred forty-three thousand, eight hundred twenty-four".