11286144 has 96 divisors (see below), whose sum is σ = 33136740. Its totient is φ = 3686400.

The previous prime is 11286137. The next prime is 11286173. The reversal of 11286144 is 44168211.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 10497600 + 788544 = 3240^2 + 888^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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 11 ways as a sum of consecutive naturals, for example, 111694 + ... + 111794.

Almost surely, 2^11286144 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 11286144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16568370).

11286144 is an abundant number, since it is smaller than the sum of its proper divisors (21850596).

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

11286144 is a wasteful number, since it uses less digits than its factorization.

11286144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 203 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 11286144 is about 3359.4856749211. The cubic root of 11286144 is about 224.3099450860.

The spelling of 11286144 in words is "eleven million, two hundred eighty-six thousand, one hundred forty-four".