11622144 has 72 divisors (see below), whose sum is σ = 31845520. Its totient is φ = 3760128.

The previous prime is 11622139. The next prime is 11622157. The reversal of 11622144 is 44122611.

It is a happy number.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 11622144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28212 + ... + 28620.

Almost surely, 2^11622144 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 11622144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15922760).

11622144 is an abundant number, since it is smaller than the sum of its proper divisors (20223376).

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

11622144 is an equidigital number, since it uses as much as digits as its factorization.

11622144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 451 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 11622144 is about 3409.1265743589. The cubic root of 11622144 is about 226.5141919580.

Adding to 11622144 its reverse (44122611), we get a palindrome (55744755).

The spelling of 11622144 in words is "eleven million, six hundred twenty-two thousand, one hundred forty-four".