11224320 has 144 divisors (see below), whose sum is σ = 37282560. Its totient is φ = 2875392.

The previous prime is 11224303. The next prime is 11224321. The reversal of 11224320 is 2342211.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11224320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11224321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142041 + ... + 142119.

Almost surely, 2^11224320 is an apocalyptic number.

11224320 is a gapful number since it is divisible by the number (10) 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 11224320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18641280).

11224320 is an abundant number, since it is smaller than the sum of its proper divisors (26058240).

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

11224320 is an equidigital number, since it uses as much as digits as its factorization.

11224320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 11224320 is about 3350.2716307786. The cubic root of 11224320 is about 223.8996148833.

Adding to 11224320 its reverse (2342211), we get a palindrome (13566531).

The spelling of 11224320 in words is "eleven million, two hundred twenty-four thousand, three hundred twenty".