11716224 has 64 divisors (see below), whose sum is σ = 33529440. Its totient is φ = 3603456.

The previous prime is 11716189. The next prime is 11716231. The reversal of 11716224 is 42261711.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 11716194 and 11716203.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3819 + ... + 6165.

Almost surely, 2^11716224 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 11716224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16764720).

11716224 is an abundant number, since it is smaller than the sum of its proper divisors (21813216).

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

11716224 is a wasteful number, since it uses less digits than its factorization.

11716224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2377 (or 2365 counting only the distinct ones).

The product of its digits is 672, while the sum is 24.

The square root of 11716224 is about 3422.8970186087. The cubic root of 11716224 is about 227.1237527655.

Adding to 11716224 its reverse (42261711), we get a palindrome (53977935).

The spelling of 11716224 in words is "eleven million, seven hundred sixteen thousand, two hundred twenty-four".