13618128 has 40 divisors (see below), whose sum is σ = 35764576. Its totient is φ = 4464000.

The previous prime is 13618123. The next prime is 13618147. The reversal of 13618128 is 82181631.

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

It is a junction number, because it is equal to n+sod(n) for n = 13618095 and 13618104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13618123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 603 + ... + 5253.

Almost surely, 2^13618128 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 13618128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17882288).

13618128 is an abundant number, since it is smaller than the sum of its proper divisors (22146448).

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

13618128 is a wasteful number, since it uses less digits than its factorization.

13618128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4723 (or 4717 counting only the distinct ones).

The product of its digits is 2304, while the sum is 30.

The square root of 13618128 is about 3690.2747865166. The cubic root of 13618128 is about 238.8026474908.

Adding to 13618128 its reverse (82181631), we get a palindrome (95799759).

The spelling of 13618128 in words is "thirteen million, six hundred eighteen thousand, one hundred twenty-eight".