11796224 has 72 divisors (see below), whose sum is σ = 26490240. Its totient is φ = 5196800.

The previous prime is 11796223. The next prime is 11796251. The reversal of 11796224 is 42269711.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11796223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 166109 + ... + 166179.

It is an arithmetic number, because the mean of its divisors is an integer number (367920).

Almost surely, 2^11796224 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 11796224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13245120).

11796224 is an abundant number, since it is smaller than the sum of its proper divisors (14694016).

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

11796224 is an equidigital number, since it uses as much as digits as its factorization.

11796224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 143 counting only the distinct ones).

The product of its digits is 6048, while the sum is 32.

The square root of 11796224 is about 3434.5631454379. The cubic root of 11796224 is about 227.6395247656.

The spelling of 11796224 in words is "eleven million, seven hundred ninety-six thousand, two hundred twenty-four".