13627116 has 60 divisors (see below), whose sum is σ = 36000888. Its totient is φ = 4494528.

The previous prime is 13627111. The next prime is 13627127. The reversal of 13627116 is 61172631.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 13627116.

It is not an unprimeable number, because it can be changed into a prime (13627111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 44235 + ... + 44541.

Almost surely, 2^13627116 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 13627116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18000444).

13627116 is an abundant number, since it is smaller than the sum of its proper divisors (22373772).

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

13627116 is a wasteful number, since it uses less digits than its factorization.

13627116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 449 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 13627116 is about 3691.4923811380. The cubic root of 13627116 is about 238.8551727269.

Adding to 13627116 its reverse (61172631), we get a palindrome (74799747).

The spelling of 13627116 in words is "thirteen million, six hundred twenty-seven thousand, one hundred sixteen".