13784144 has 60 divisors (see below), whose sum is σ = 31063488. Its totient is φ = 5875200.

The previous prime is 13784143. The next prime is 13784149. The reversal of 13784144 is 44148731.

It is a self number, because there is not a number n which added to its sum of digits gives 13784144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13784143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50729 + ... + 50999.

Almost surely, 2^13784144 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 13784144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15531744).

13784144 is an abundant number, since it is smaller than the sum of its proper divisors (17279344).

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

13784144 is a wasteful number, since it uses less digits than its factorization.

13784144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 301 counting only the distinct ones).

The product of its digits is 10752, while the sum is 32.

The square root of 13784144 is about 3712.7003649635. The cubic root of 13784144 is about 239.7691298354.

The spelling of 13784144 in words is "thirteen million, seven hundred eighty-four thousand, one hundred forty-four".