13638636 has 108 divisors (see below), whose sum is σ = 39504192. Its totient is φ = 3960000.

The previous prime is 13638629. The next prime is 13638659. The reversal of 13638636 is 63683631.

13638636 is a `hidden beast` number, since 13 + 6 + 3 + 8 + 636 = 666.

13638636 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 13638636.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 134986 + ... + 135086.

Almost surely, 2^13638636 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 13638636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19752096).

13638636 is an abundant number, since it is smaller than the sum of its proper divisors (25865556).

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

13638636 is a wasteful number, since it uses less digits than its factorization.

13638636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 148 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 13638636 is about 3693.0523960540. The cubic root of 13638636 is about 238.9224610310.

It can be divided in two parts, 13638 and 636, that multiplied together give a palindrome (8673768).

The spelling of 13638636 in words is "thirteen million, six hundred thirty-eight thousand, six hundred thirty-six".