11368224 has 72 divisors (see below), whose sum is σ = 36953280. Its totient is φ = 3247488.

The previous prime is 11368207. The next prime is 11368229. The reversal of 11368224 is 42286311.

11368224 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11368229) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 804 + ... + 4835.

It is an arithmetic number, because the mean of its divisors is an integer number (513240).

Almost surely, 2^11368224 is an apocalyptic number.

11368224 is a gapful number since it is divisible by the number (14) 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 11368224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18476640).

11368224 is an abundant number, since it is smaller than the sum of its proper divisors (25585056).

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

11368224 is a wasteful number, since it uses less digits than its factorization.

11368224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5662 (or 5651 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 11368224 is about 3371.6797000901. The cubic root of 11368224 is about 224.8524069083.

The spelling of 11368224 in words is "eleven million, three hundred sixty-eight thousand, two hundred twenty-four".