11788224 has 112 divisors (see below), whose sum is σ = 36576000. Its totient is φ = 3349248.

The previous prime is 11788223. The next prime is 11788243. The reversal of 11788224 is 42288711.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11788223) 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, 65767 + ... + 65945.

Almost surely, 2^11788224 is an apocalyptic number.

11788224 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 11788224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18288000).

11788224 is an abundant number, since it is smaller than the sum of its proper divisors (24787776).

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

11788224 is an equidigital number, since it uses as much as digits as its factorization.

11788224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 191 counting only the distinct ones).

The product of its digits is 7168, while the sum is 33.

The square root of 11788224 is about 3433.3983165371. The cubic root of 11788224 is about 227.5880527003.

The spelling of 11788224 in words is "eleven million, seven hundred eighty-eight thousand, two hundred twenty-four".