111871968 has 96 divisors (see below), whose sum is σ = 334920096. Its totient is φ = 32391168.

The previous prime is 111871933. The next prime is 111871973. The reversal of 111871968 is 869178111.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 18580 + ... + 23852.

It is an arithmetic number, because the mean of its divisors is an integer number (3488751).

Almost surely, 2^111871968 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 111871968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167460048).

111871968 is an abundant number, since it is smaller than the sum of its proper divisors (223048128).

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

111871968 is a wasteful number, since it uses less digits than its factorization.

111871968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5316 (or 5308 counting only the distinct ones).

The product of its digits is 24192, while the sum is 42.

The square root of 111871968 is about 10576.9545711419. The cubic root of 111871968 is about 481.8447070071.

The spelling of 111871968 in words is "one hundred eleven million, eight hundred seventy-one thousand, nine hundred sixty-eight".