111911680 has 144 divisors (see below), whose sum is σ = 293600160. Its totient is φ = 40697856.

The previous prime is 111911651. The next prime is 111911689. The reversal of 111911680 is 86119111.

It is not an unprimeable number, because it can be changed into a prime (111911689) 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 15 ways as a sum of consecutive naturals, for example, 805051 + ... + 805189.

It is an arithmetic number, because the mean of its divisors is an integer number (2038890).

Almost surely, 2^111911680 is an apocalyptic number.

111911680 is a gapful number since it is divisible by the number (10) 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 111911680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146800080).

111911680 is an abundant number, since it is smaller than the sum of its proper divisors (181688480).

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

111911680 is a wasteful number, since it uses less digits than its factorization.

111911680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 28.

The square root of 111911680 is about 10578.8316935284. The cubic root of 111911680 is about 481.9017148933.

The spelling of 111911680 in words is "one hundred eleven million, nine hundred eleven thousand, six hundred eighty".