13884672 has 72 divisors (see below), whose sum is σ = 37527840. Its totient is φ = 4556800.

The previous prime is 13884671. The next prime is 13884679. The reversal of 13884672 is 27648831.

It is a self number, because there is not a number n which added to its sum of digits gives 13884672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13884671) 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 7 ways as a sum of consecutive naturals, for example, 77479 + ... + 77657.

It is an arithmetic number, because the mean of its divisors is an integer number (521220).

Almost surely, 2^13884672 is an apocalyptic number.

13884672 is a gapful number since it is divisible by the number (12) 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 13884672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18763920).

13884672 is an abundant number, since it is smaller than the sum of its proper divisors (23643168).

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

13884672 is a wasteful number, since it uses less digits than its factorization.

13884672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 285 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 13884672 is about 3726.2141645375. The cubic root of 13884672 is about 240.3505986974.

The spelling of 13884672 in words is "thirteen million, eight hundred eighty-four thousand, six hundred seventy-two".