13386816 has 112 divisors (see below), whose sum is σ = 40314880. Its totient is φ = 4354560.

The previous prime is 13386809. The next prime is 13386817. The reversal of 13386816 is 61868331.

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

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

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (13386817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105345 + ... + 105471.

Almost surely, 2^13386816 is an apocalyptic number.

13386816 is a gapful number since it is divisible by the number (16) 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 13386816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20157440).

13386816 is an abundant number, since it is smaller than the sum of its proper divisors (26928064).

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

13386816 is a wasteful number, since it uses less digits than its factorization.

13386816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 193 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 13386816 is about 3658.7998032142. The cubic root of 13386816 is about 237.4428508847.

The spelling of 13386816 in words is "thirteen million, three hundred eighty-six thousand, eight hundred sixteen".