11227776 has 64 divisors (see below), whose sum is σ = 34092480. Its totient is φ = 3207168.

The previous prime is 11227771. The next prime is 11227781. The reversal of 11227776 is 67772211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11227771) and next prime (11227781).

It is a tau number, because it is divible by the number of its divisors (64).

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

It is not an unprimeable number, because it can be changed into a prime (11227771) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 600 + ... + 4776.

It is an arithmetic number, because the mean of its divisors is an integer number (532695).

Almost surely, 2^11227776 is an apocalyptic number.

11227776 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 11227776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17046240).

11227776 is an abundant number, since it is smaller than the sum of its proper divisors (22864704).

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

11227776 is an equidigital number, since it uses as much as digits as its factorization.

11227776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4201 (or 4189 counting only the distinct ones).

The product of its digits is 8232, while the sum is 33.

The square root of 11227776 is about 3350.7873701565. The cubic root of 11227776 is about 223.9225923009.

Adding to 11227776 its reverse (67772211), we get a palindrome (78999987).

The spelling of 11227776 in words is "eleven million, two hundred twenty-seven thousand, seven hundred seventy-six".