13638276 has 72 divisors (see below), whose sum is σ = 36807680. Its totient is φ = 4245696.

The previous prime is 13638269. The next prime is 13638277. The reversal of 13638276 is 67283631.

It is a happy number.

13638276 is a `hidden beast` number, since 13 + 638 + 2 + 7 + 6 = 666.

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 13638276.

It is not an unprimeable number, because it can be changed into a prime (13638277) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86790 + ... + 86946.

Almost surely, 2^13638276 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 13638276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18403840).

13638276 is an abundant number, since it is smaller than the sum of its proper divisors (23169404).

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

13638276 is a wasteful number, since it uses less digits than its factorization.

13638276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 308 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 13638276 is about 3693.0036555628. The cubic root of 13638276 is about 238.9203588451.

The spelling of 13638276 in words is "thirteen million, six hundred thirty-eight thousand, two hundred seventy-six".