11080224 has 72 divisors (see below), whose sum is σ = 31973760. Its totient is φ = 3639168.

The previous prime is 11080217. The next prime is 11080247. The reversal of 11080224 is 42208011.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 11080197 and 11080206.

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 11 ways as a sum of consecutive naturals, for example, 22509 + ... + 22995.

It is an arithmetic number, because the mean of its divisors is an integer number (444080).

Almost surely, 2^11080224 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 11080224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15986880).

11080224 is an abundant number, since it is smaller than the sum of its proper divisors (20893536).

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

11080224 is a wasteful number, since it uses less digits than its factorization.

11080224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 11080224 is about 3328.6970423876. The cubic root of 11080224 is about 222.9373563041.

Adding to 11080224 its reverse (42208011), we get a palindrome (53288235).

The spelling of 11080224 in words is "eleven million, eighty thousand, two hundred twenty-four".