112668768 has 72 divisors (see below), whose sum is σ = 322220808. Its totient is φ = 37343232.

The previous prime is 112668761. The next prime is 112668791. The reversal of 112668768 is 867866211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112668761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54571 + ... + 56597.

It is an arithmetic number, because the mean of its divisors is an integer number (4475289).

Almost surely, 2^112668768 is an apocalyptic number.

112668768 is a gapful number since it is divisible by the number (18) 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 112668768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161110404).

112668768 is an abundant number, since it is smaller than the sum of its proper divisors (209552040).

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

112668768 is a wasteful number, since it uses less digits than its factorization.

112668768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2236 (or 2225 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 112668768 is about 10614.5545361075. The cubic root of 112668768 is about 482.9859697839.

The spelling of 112668768 in words is "one hundred twelve million, six hundred sixty-eight thousand, seven hundred sixty-eight".