13641144 has 64 divisors (see below), whose sum is σ = 37549440. Its totient is φ = 4095360.

The previous prime is 13641137. The next prime is 13641149. The reversal of 13641144 is 44114631.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 (13641149) 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, 42874 + ... + 43190.

It is an arithmetic number, because the mean of its divisors is an integer number (586710).

Almost surely, 2^13641144 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 13641144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18774720).

13641144 is an abundant number, since it is smaller than the sum of its proper divisors (23908296).

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

13641144 is a wasteful number, since it uses less digits than its factorization.

13641144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 496 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 13641144 is about 3693.3919369598. The cubic root of 13641144 is about 238.9371052326.

Adding to 13641144 its reverse (44114631), we get a palindrome (57755775).

The spelling of 13641144 in words is "thirteen million, six hundred forty-one thousand, one hundred forty-four".