1968160768 has 90 divisors (see below), whose sum is σ = 4533117848. Its totient is φ = 837058560.

The previous prime is 1968160757. The next prime is 1968160781. The reversal of 1968160768 is 8670618691.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15024063 + ... + 15024193.

Almost surely, 2^1968160768 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 1968160768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2266558924).

1968160768 is an abundant number, since it is smaller than the sum of its proper divisors (2564957080).

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

1968160768 is an frugal number, since it uses more digits than its factorization.

1968160768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 52.

The square root of 1968160768 is about 44363.9579839311. The cubic root of 1968160768 is about 1253.1994344154.

The spelling of 1968160768 in words is "one billion, nine hundred sixty-eight million, one hundred sixty thousand, seven hundred sixty-eight".