111866688 has 168 divisors, whose sum is σ = 342549480. Its totient is φ = 34836480.

The previous prime is 111866683. The next prime is 111866701. The reversal of 111866688 is 886668111.

It can be written as a sum of positive squares in 4 ways, for example, as 9290304 + 102576384 = 3048^2 + 10128^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111866683) 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 23 ways as a sum of consecutive naturals, for example, 617958 + ... + 618138.

It is an arithmetic number, because the mean of its divisors is an integer number (2038985).

Almost surely, 2^111866688 is an apocalyptic number.

111866688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111866688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171274740).

111866688 is an abundant number, since it is smaller than the sum of its proper divisors (230682792).

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

111866688 is a wasteful number, since it uses less digits than its factorization.

111866688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 252 counting only the distinct ones).

The product of its digits is 110592, while the sum is 45.

The square root of 111866688 is about 10576.7049689400. The cubic root of 111866688 is about 481.8371263768.

The spelling of 111866688 in words is "one hundred eleven million, eight hundred sixty-six thousand, six hundred eighty-eight".