13874944 has 36 divisors (see below), whose sum is σ = 28072296. Its totient is φ = 6843392.

The previous prime is 13874909. The next prime is 13874947. The reversal of 13874944 is 44947831.

It is a junction number, because it is equal to n+sod(n) for n = 13874897 and 13874906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13874947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20922 + ... + 21574.

It is an arithmetic number, because the mean of its divisors is an integer number (779786).

Almost surely, 2^13874944 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 13874944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14036148).

13874944 is an abundant number, since it is smaller than the sum of its proper divisors (14197352).

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

13874944 is an frugal number, since it uses more digits than its factorization.

13874944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 738 counting only the distinct ones).

The product of its digits is 96768, while the sum is 40.

The square root of 13874944 is about 3724.9085894824. The cubic root of 13874944 is about 240.2944534054.

The spelling of 13874944 in words is "thirteen million, eight hundred seventy-four thousand, nine hundred forty-four".