11886144 has 56 divisors (see below), whose sum is σ = 32479488. Its totient is φ = 3832320.

The previous prime is 11886107. The next prime is 11886157. The reversal of 11886144 is 44168811.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4954 + ... + 6950.

Almost surely, 2^11886144 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 11886144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16239744).

11886144 is an abundant number, since it is smaller than the sum of its proper divisors (20593344).

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

11886144 is a wasteful number, since it uses less digits than its factorization.

11886144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2043 (or 2033 counting only the distinct ones).

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

The square root of 11886144 is about 3447.6287503152. The cubic root of 11886144 is about 228.2164764556.

The spelling of 11886144 in words is "eleven million, eight hundred eighty-six thousand, one hundred forty-four".