11916144 has 60 divisors (see below), whose sum is σ = 33784296. Its totient is φ = 3920256.

The previous prime is 11916137. The next prime is 11916161. The reversal of 11916144 is 44161911.

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 11 ways as a sum of consecutive naturals, for example, 11454 + ... + 12450.

Almost surely, 2^11916144 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 11916144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16892148).

11916144 is an abundant number, since it is smaller than the sum of its proper divisors (21868152).

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

11916144 is a wasteful number, since it uses less digits than its factorization.

11916144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094 (or 1085 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 11916144 is about 3451.9768249512. The cubic root of 11916144 is about 228.4083172605.

The spelling of 11916144 in words is "eleven million, nine hundred sixteen thousand, one hundred forty-four".