108960768 has 176 divisors, whose sum is σ = 369442560. Its totient is φ = 31076352.

The previous prime is 108960767. The next prime is 108960781. The reversal of 108960768 is 867069801.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108960767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193255 + ... + 193817.

Almost surely, 2^108960768 is an apocalyptic number.

108960768 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 108960768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184721280).

108960768 is an abundant number, since it is smaller than the sum of its proper divisors (260481792).

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

108960768 is an equidigital number, since it uses as much as digits as its factorization.

108960768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 108960768 is about 10438.4274677750. The cubic root of 108960768 is about 477.6283006386.

The spelling of 108960768 in words is "one hundred eight million, nine hundred sixty thousand, seven hundred sixty-eight".