13806624 has 144 divisors (see below), whose sum is σ = 42057792. Its totient is φ = 3953664.

The previous prime is 13806607. The next prime is 13806643. The reversal of 13806624 is 42660831.

It is a junction number, because it is equal to n+sod(n) for n = 13806591 and 13806600.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 373134 + ... + 373170.

It is an arithmetic number, because the mean of its divisors is an integer number (292068).

Almost surely, 2^13806624 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 13806624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21028896).

13806624 is an abundant number, since it is smaller than the sum of its proper divisors (28251168).

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

13806624 is a wasteful number, since it uses less digits than its factorization.

13806624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 13806624 is about 3715.7265776696. The cubic root of 13806624 is about 239.8994022841.

The spelling of 13806624 in words is "thirteen million, eight hundred six thousand, six hundred twenty-four".