1171020768 has 96 divisors (see below), whose sum is σ = 3254509440. Its totient is φ = 367649280.

The previous prime is 1171020751. The next prime is 1171020769. The reversal of 1171020768 is 8670201711.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1171020769) 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, 328371 + ... + 331917.

It is an arithmetic number, because the mean of its divisors is an integer number (33901140).

Almost surely, 2^1171020768 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 1171020768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627254720).

1171020768 is an abundant number, since it is smaller than the sum of its proper divisors (2083488672).

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

1171020768 is a wasteful number, since it uses less digits than its factorization.

1171020768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3760 (or 3752 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 33.

The square root of 1171020768 is about 34220.1807125562. The cubic root of 1171020768 is about 1054.0345961397.

The spelling of 1171020768 in words is "one billion, one hundred seventy-one million, twenty thousand, seven hundred sixty-eight".