13886112 has 96 divisors (see below), whose sum is σ = 40158720. Its totient is φ = 4181760.

The previous prime is 13886107. The next prime is 13886113. The reversal of 13886112 is 21168831.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 13886112.

It is not an unprimeable number, because it can be changed into a prime (13886113) 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 15 ways as a sum of consecutive naturals, for example, 41787 + ... + 42117.

It is an arithmetic number, because the mean of its divisors is an integer number (418320).

Almost surely, 2^13886112 is an apocalyptic number.

13886112 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 13886112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20079360).

13886112 is an abundant number, since it is smaller than the sum of its proper divisors (26272608).

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

13886112 is a wasteful number, since it uses less digits than its factorization.

13886112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 378 counting only the distinct ones).

The product of its digits is 2304, while the sum is 30.

The square root of 13886112 is about 3726.4073851365. The cubic root of 13886112 is about 240.3589074496.

The spelling of 13886112 in words is "thirteen million, eight hundred eighty-six thousand, one hundred twelve".