11171688 has 48 divisors (see below), whose sum is σ = 30707040. Its totient is φ = 3384480.

The previous prime is 11171683. The next prime is 11171729. The reversal of 11171688 is 88617111.

It is a super-2 number, since 2×11171688² = 249613225538688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (11171683) 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 11 ways as a sum of consecutive naturals, for example, 981 + ... + 4827.

It is an arithmetic number, because the mean of its divisors is an integer number (639730).

Almost surely, 2^11171688 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 11171688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15353520).

11171688 is an abundant number, since it is smaller than the sum of its proper divisors (19535352).

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

11171688 is a wasteful number, since it uses less digits than its factorization.

11171688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3878 (or 3863 counting only the distinct ones).

The product of its digits is 2688, while the sum is 33.

The square root of 11171688 is about 3342.4075155492. The cubic root of 11171688 is about 223.5491036153.

Adding to 11171688 its reverse (88617111), we get a palindrome (99788799).

The spelling of 11171688 in words is "eleven million, one hundred seventy-one thousand, six hundred eighty-eight".