111876864 has 288 divisors, whose sum is σ = 370863360. Its totient is φ = 29491200.

The previous prime is 111876859. The next prime is 111876871. The reversal of 111876864 is 468678111.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2728684 + ... + 2728724.

It is an arithmetic number, because the mean of its divisors is an integer number (1287720).

Almost surely, 2^111876864 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 111876864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185431680).

111876864 is an abundant number, since it is smaller than the sum of its proper divisors (258986496).

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

111876864 is a wasteful number, since it uses less digits than its factorization.

111876864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 93 counting only the distinct ones).

The product of its digits is 64512, while the sum is 42.

The square root of 111876864 is about 10577.1860151933. The cubic root of 111876864 is about 481.8517361056.

The spelling of 111876864 in words is "one hundred eleven million, eight hundred seventy-six thousand, eight hundred sixty-four".