117168768 has 96 divisors (see below), whose sum is σ = 349745760. Its totient is φ = 39045888.

The previous prime is 117168731. The next prime is 117168769. The reversal of 117168768 is 867861711.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (117168769) 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, 29221 + ... + 32987.

It is an arithmetic number, because the mean of its divisors is an integer number (3643185).

Almost surely, 2^117168768 is an apocalyptic number.

117168768 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 117168768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174872880).

117168768 is an abundant number, since it is smaller than the sum of its proper divisors (232576992).

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

117168768 is an frugal number, since it uses more digits than its factorization.

117168768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3796 (or 3772 counting only the distinct ones).

The product of its digits is 112896, while the sum is 45.

The square root of 117168768 is about 10824.4523187088. The cubic root of 117168768 is about 489.3323796942.

The spelling of 117168768 in words is "one hundred seventeen million, one hundred sixty-eight thousand, seven hundred sixty-eight".