11116824 has 32 divisors (see below), whose sum is σ = 29256000. Its totient is φ = 3510432.

The previous prime is 11116811. The next prime is 11116829. The reversal of 11116824 is 42861111.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 11116794 and 11116803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11116829) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11734 + ... + 12645.

It is an arithmetic number, because the mean of its divisors is an integer number (914250).

Almost surely, 2^11116824 is an apocalyptic number.

It is an amenable number.

11116824 is an abundant number, since it is smaller than the sum of its proper divisors (18139176).

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

11116824 is a wasteful number, since it uses less digits than its factorization.

11116824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24407 (or 24403 counting only the distinct ones).

The product of its digits is 384, while the sum is 24.

The square root of 11116824 is about 3334.1901565448. The cubic root of 11116824 is about 223.1825541020.

Adding to 11116824 its reverse (42861111), we get a palindrome (53977935).

The spelling of 11116824 in words is "eleven million, one hundred sixteen thousand, eight hundred twenty-four".