11616144 has 80 divisors (see below), whose sum is σ = 32378880. Its totient is φ = 3576960.

The previous prime is 11616139. The next prime is 11616167. The reversal of 11616144 is 44161611.

11616144 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 (24).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42729 + ... + 42999.

It is an arithmetic number, because the mean of its divisors is an integer number (404736).

Almost surely, 2^11616144 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 11616144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16189440).

11616144 is an abundant number, since it is smaller than the sum of its proper divisors (20762736).

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

11616144 is a wasteful number, since it uses less digits than its factorization.

11616144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 342 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 11616144 is about 3408.2464699608. The cubic root of 11616144 is about 226.4752054883.

Adding to 11616144 its reverse (44161611), we get a palindrome (55777755).

The spelling of 11616144 in words is "eleven million, six hundred sixteen thousand, one hundred forty-four".