11216688 has 120 divisors (see below), whose sum is σ = 35622720. Its totient is φ = 3024000.

The previous prime is 11216683. The next prime is 11216693. The reversal of 11216688 is 88661211.

It is an interprime number because it is at equal distance from previous prime (11216683) and next prime (11216693).

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 (11216683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44563 + ... + 44813.

It is an arithmetic number, because the mean of its divisors is an integer number (296856).

Almost surely, 2^11216688 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 11216688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17811360).

11216688 is an abundant number, since it is smaller than the sum of its proper divisors (24406032).

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

11216688 is a wasteful number, since it uses less digits than its factorization.

11216688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 282 counting only the distinct ones).

The product of its digits is 4608, while the sum is 33.

The square root of 11216688 is about 3349.1324249722. The cubic root of 11216688 is about 223.8488563724.

Adding to 11216688 its reverse (88661211), we get a palindrome (99877899).

The spelling of 11216688 in words is "eleven million, two hundred sixteen thousand, six hundred eighty-eight".