13638264 has 64 divisors (see below), whose sum is σ = 36771840. Its totient is φ = 4202880.

The previous prime is 13638259. The next prime is 13638269. The reversal of 13638264 is 46283631.

It is an interprime number because it is at equal distance from previous prime (13638259) and next prime (13638269).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13638269) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16714 + ... + 17510.

It is an arithmetic number, because the mean of its divisors is an integer number (574560).

Almost surely, 2^13638264 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 13638264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18385920).

13638264 is an abundant number, since it is smaller than the sum of its proper divisors (23133576).

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

13638264 is a wasteful number, since it uses less digits than its factorization.

13638264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 856 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 13638264 is about 3693.0020308687. The cubic root of 13638264 is about 238.9202887716.

The spelling of 13638264 in words is "thirteen million, six hundred thirty-eight thousand, two hundred sixty-four".