11226816 has 112 divisors (see below), whose sum is σ = 33832800. Its totient is φ = 3649536.

The previous prime is 11226791. The next prime is 11226821. The reversal of 11226816 is 61862211.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a self number, because there is not a number n which added to its sum of digits gives 11226816.

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 15 ways as a sum of consecutive naturals, for example, 126100 + ... + 126188.

Almost surely, 2^11226816 is an apocalyptic number.

11226816 is a gapful number since it is divisible by the number (16) 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 11226816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16916400).

11226816 is an abundant number, since it is smaller than the sum of its proper divisors (22605984).

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

11226816 is an equidigital number, since it uses as much as digits as its factorization.

11226816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 167 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 11226816 is about 3350.6441171811. The cubic root of 11226816 is about 223.9162101579.

The spelling of 11226816 in words is "eleven million, two hundred twenty-six thousand, eight hundred sixteen".