11868144 has 40 divisors (see below), whose sum is σ = 30987600. Its totient is φ = 3913728.

The previous prime is 11868139. The next prime is 11868151. The reversal of 11868144 is 44186811.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3382 + ... + 5930.

It is an arithmetic number, because the mean of its divisors is an integer number (774690).

Almost surely, 2^11868144 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 11868144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15493800).

11868144 is an abundant number, since it is smaller than the sum of its proper divisors (19119456).

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

11868144 is a wasteful number, since it uses less digits than its factorization.

11868144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2657 (or 2651 counting only the distinct ones).

The product of its digits is 6144, while the sum is 33.

The square root of 11868144 is about 3445.0172713645. The cubic root of 11868144 is about 228.1012169864.

The spelling of 11868144 in words is "eleven million, eight hundred sixty-eight thousand, one hundred forty-four".