111956768 has 72 divisors (see below), whose sum is σ = 279753264. Its totient is φ = 43612800.

The previous prime is 111956737. The next prime is 111956771. The reversal of 111956768 is 867659111.

It is a Harshad number since it is a multiple of its sum of digits (44).

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 11 ways as a sum of consecutive naturals, for example, 14003 + ... + 20493.

It is an arithmetic number, because the mean of its divisors is an integer number (3885462).

Almost surely, 2^111956768 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 111956768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139876632).

111956768 is an abundant number, since it is smaller than the sum of its proper divisors (167796496).

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

111956768 is a wasteful number, since it uses less digits than its factorization.

111956768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6526 (or 6511 counting only the distinct ones).

The product of its digits is 90720, while the sum is 44.

The square root of 111956768 is about 10580.9625271050. The cubic root of 111956768 is about 481.9664238590.

The spelling of 111956768 in words is "one hundred eleven million, nine hundred fifty-six thousand, seven hundred sixty-eight".