13886824 has 64 divisors (see below), whose sum is σ = 32659200. Its totient is φ = 5397504.

The previous prime is 13886809. The next prime is 13886827. The reversal of 13886824 is 42868831.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (13886827) 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 15 ways as a sum of consecutive naturals, for example, 27357 + ... + 27859.

It is an arithmetic number, because the mean of its divisors is an integer number (510300).

Almost surely, 2^13886824 is an apocalyptic number.

13886824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13886824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16329600).

13886824 is an abundant number, since it is smaller than the sum of its proper divisors (18772376).

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

13886824 is a wasteful number, since it uses less digits than its factorization.

13886824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 558 counting only the distinct ones).

The product of its digits is 73728, while the sum is 40.

The square root of 13886824 is about 3726.5029182868. The cubic root of 13886824 is about 240.3630154537.

The spelling of 13886824 in words is "thirteen million, eight hundred eighty-six thousand, eight hundred twenty-four".