1196144768 has 128 divisors (see below), whose sum is σ = 2964299520. Its totient is φ = 468135936.

The previous prime is 1196144707. The next prime is 1196144771. The reversal of 1196144768 is 8674416911.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

Its product of digits (290304) is a multiple of the sum of its prime factors (1134).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1199246 + ... + 1200242.

It is an arithmetic number, because the mean of its divisors is an integer number (23158590).

Almost surely, 2^1196144768 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 1196144768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482149760).

1196144768 is an abundant number, since it is smaller than the sum of its proper divisors (1768154752).

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

1196144768 is a wasteful number, since it uses less digits than its factorization.

1196144768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134 (or 1122 counting only the distinct ones).

The product of its digits is 290304, while the sum is 47.

The square root of 1196144768 is about 34585.3259056496. The cubic root of 1196144768 is about 1061.5193496223.

The spelling of 1196144768 in words is "one billion, one hundred ninety-six million, one hundred forty-four thousand, seven hundred sixty-eight".