11220768 has 168 divisors, whose sum is σ = 36632988. Its totient is φ = 3359232.

The previous prime is 11220763. The next prime is 11220779. The reversal of 11220768 is 86702211.

It can be written as a sum of positive squares in 2 ways, for example, as 11209104 + 11664 = 3348^2 + 108^2 .

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

It is not an unprimeable number, because it can be changed into a prime (11220761) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 303246 + ... + 303282.

Almost surely, 2^11220768 is an apocalyptic number.

11220768 is a gapful number since it is divisible by the number (18) 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 11220768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18316494).

11220768 is an abundant number, since it is smaller than the sum of its proper divisors (25412220).

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

11220768 is an equidigital number, since it uses as much as digits as its factorization.

11220768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 11220768 is about 3349.7414825625. The cubic root of 11220768 is about 223.8759942887.

Adding to 11220768 its reverse (86702211), we get a palindrome (97922979).

The spelling of 11220768 in words is "eleven million, two hundred twenty thousand, seven hundred sixty-eight".