11286912 has 256 divisors, whose sum is σ = 41126400. Its totient is φ = 2654208.

The previous prime is 11286911. The next prime is 11286917. The reversal of 11286912 is 21968211.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 11286912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11286911) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 594039 + ... + 594057.

It is an arithmetic number, because the mean of its divisors is an integer number (160650).

Almost surely, 2^11286912 is an apocalyptic number.

11286912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11286912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20563200).

11286912 is an abundant number, since it is smaller than the sum of its proper divisors (29839488).

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

11286912 is a wasteful number, since it uses less digits than its factorization.

11286912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 61 counting only the distinct ones).

The product of its digits is 1728, while the sum is 30.

The square root of 11286912 is about 3359.5999761876. The cubic root of 11286912 is about 224.3150329214.

The spelling of 11286912 in words is "eleven million, two hundred eighty-six thousand, nine hundred twelve".