111968000 has 72 divisors (see below), whose sum is σ = 279006000. Its totient is φ = 44774400.

The previous prime is 111967997. The next prime is 111968009. The reversal of 111968000 is 869111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111968009) 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 7 ways as a sum of consecutive naturals, for example, 30251 + ... + 33749.

Almost surely, 2^111968000 is an apocalyptic number.

111968000 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 111968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139503000).

111968000 is an abundant number, since it is smaller than the sum of its proper divisors (167038000).

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

111968000 is an frugal number, since it uses more digits than its factorization.

111968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3530 (or 3506 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 26.

The square root of 111968000 is about 10581.4932783610. The cubic root of 111968000 is about 481.9825409905.

The spelling of 111968000 in words is "one hundred eleven million, nine hundred sixty-eight thousand".