13468284 has 72 divisors (see below), whose sum is σ = 36756720. Its totient is φ = 4142592.

The previous prime is 13468243. The next prime is 13468289. The reversal of 13468284 is 48286431.

13468284 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (13468289) 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, 35922 + ... + 36294.

It is an arithmetic number, because the mean of its divisors is an integer number (510510).

Almost surely, 2^13468284 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 13468284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18378360).

13468284 is an abundant number, since it is smaller than the sum of its proper divisors (23288436).

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

13468284 is a wasteful number, since it uses less digits than its factorization.

13468284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 454 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 13468284 is about 3669.9160753347. The cubic root of 13468284 is about 237.9235448700.

The spelling of 13468284 in words is "thirteen million, four hundred sixty-eight thousand, two hundred eighty-four".