11224440 has 128 divisors (see below), whose sum is σ = 39456000. Its totient is φ = 2830464.

The previous prime is 11224439. The next prime is 11224453. The reversal of 11224440 is 4442211.

11224440 is a `hidden beast` number, since 1 + 1 + 224 + 440 = 666.

11224440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20247 + ... + 20793.

It is an arithmetic number, because the mean of its divisors is an integer number (308250).

Almost surely, 2^11224440 is an apocalyptic number.

11224440 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 11224440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19728000).

11224440 is an abundant number, since it is smaller than the sum of its proper divisors (28231560).

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

11224440 is a wasteful number, since it uses less digits than its factorization.

11224440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 11224440 is about 3350.2895397264. The cubic root of 11224440 is about 223.9004127893.

Adding to 11224440 its reverse (4442211), we get a palindrome (15666651).

It can be divided in two parts, 11224 and 440, that added together give a square (11664 = 108²).

The spelling of 11224440 in words is "eleven million, two hundred twenty-four thousand, four hundred forty".