11111688 has 64 divisors (see below), whose sum is σ = 35280000. Its totient is φ = 3174336.

The previous prime is 11111687. The next prime is 11111701. The reversal of 11111688 is 88611111.

It is a super-2 number, since 2×11111688² = 246939220418688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a plaindrome in base 10.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11111687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2163 + ... + 5186.

It is an arithmetic number, because the mean of its divisors is an integer number (551250).

Almost surely, 2^11111688 is an apocalyptic number.

11111688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11111688 is an abundant number, since it is smaller than the sum of its proper divisors (24168312).

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

11111688 is a wasteful number, since it uses less digits than its factorization.

11111688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7371 (or 7361 counting only the distinct ones).

The product of its digits is 384, while the sum is 27.

The square root of 11111688 is about 3333.4198655435. The cubic root of 11111688 is about 223.1481785115.

Adding to 11111688 its reverse (88611111), we get a palindrome (99722799).

The spelling of 11111688 in words is "eleven million, one hundred eleven thousand, six hundred eighty-eight".