11220264 has 96 divisors (see below), whose sum is σ = 34295040. Its totient is φ = 3283200.

The previous prime is 11220247. The next prime is 11220269. The reversal of 11220264 is 46202211.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11220269) 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 23 ways as a sum of consecutive naturals, for example, 24324 + ... + 24780.

It is an arithmetic number, because the mean of its divisors is an integer number (357240).

Almost surely, 2^11220264 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 11220264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17147520).

11220264 is an abundant number, since it is smaller than the sum of its proper divisors (23074776).

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

11220264 is a wasteful number, since it uses less digits than its factorization.

11220264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 11220264 is about 3349.6662520317. Note that the first 3 decimals coincide. The cubic root of 11220264 is about 223.8726423140.

Adding to 11220264 its reverse (46202211), we get a palindrome (57422475).

The spelling of 11220264 in words is "eleven million, two hundred twenty thousand, two hundred sixty-four".