11211264 has 80 divisors (see below), whose sum is σ = 33227040. Its totient is φ = 3732480.

The previous prime is 11211247. The next prime is 11211271. The reversal of 11211264 is 46211211.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13419 + ... + 14229.

It is an arithmetic number, because the mean of its divisors is an integer number (415338).

Almost surely, 2^11211264 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 11211264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16613520).

11211264 is an abundant number, since it is smaller than the sum of its proper divisors (22015776).

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

11211264 is an frugal number, since it uses more digits than its factorization.

11211264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 816 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 11211264 is about 3348.3225651063. The cubic root of 11211264 is about 223.8127687157.

Adding to 11211264 its reverse (46211211), we get a palindrome (57422475).

The spelling of 11211264 in words is "eleven million, two hundred eleven thousand, two hundred sixty-four".