13663128 has 64 divisors (see below), whose sum is σ = 36489600. Its totient is φ = 4262688.

The previous prime is 13663123. The next prime is 13663159. The reversal of 13663128 is 82136631.

13663128 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 = 13663095 and 13663104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13663123) 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, 164575 + ... + 164657.

It is an arithmetic number, because the mean of its divisors is an integer number (570150).

Almost surely, 2^13663128 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 13663128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18244800).

13663128 is an abundant number, since it is smaller than the sum of its proper divisors (22826472).

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

13663128 is an equidigital number, since it uses as much as digits as its factorization.

13663128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 107 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 13663128 is about 3696.3668649094. The cubic root of 13663128 is about 239.0653929591.

Adding to 13663128 its reverse (82136631), we get a palindrome (95799759).

The spelling of 13663128 in words is "thirteen million, six hundred sixty-three thousand, one hundred twenty-eight".