13884156 has 192 divisors, whose sum is σ = 45158400. Its totient is φ = 3628800.

The previous prime is 13884151. The next prime is 13884161. The reversal of 13884156 is 65148831.

13884156 is a nontrivial binomial coefficient, being equal to C(33, 8).

It is an interprime number because it is at equal distance from previous prime (13884151) and next prime (13884161).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13884156.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13884151) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 447861 + ... + 447891.

It is an arithmetic number, because the mean of its divisors is an integer number (235200).

Almost surely, 2^13884156 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 13884156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22579200).

13884156 is an abundant number, since it is smaller than the sum of its proper divisors (31274244).

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

13884156 is a wasteful number, since it uses less digits than its factorization.

13884156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 89 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 13884156 is about 3726.1449247178. The cubic root of 13884156 is about 240.3476212547.

The spelling of 13884156 in words is "thirteen million, eight hundred eighty-four thousand, one hundred fifty-six".