1171916160 has 128 divisors (see below), whose sum is σ = 3748377600. Its totient is φ = 311433216.

The previous prime is 1171916149. The next prime is 1171916173. The reversal of 1171916160 is 616191711.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 665361 + ... + 667119.

It is an arithmetic number, because the mean of its divisors is an integer number (29284200).

Almost surely, 2^1171916160 is an apocalyptic number.

1171916160 is a gapful number since it is divisible by the number (10) 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 1171916160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1874188800).

1171916160 is an abundant number, since it is smaller than the sum of its proper divisors (2576461440).

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

1171916160 is a wasteful number, since it uses less digits than its factorization.

1171916160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2128 (or 2116 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 33.

The square root of 1171916160 is about 34233.2610190732. The cubic root of 1171916160 is about 1054.3031748386.

The spelling of 1171916160 in words is "one billion, one hundred seventy-one million, nine hundred sixteen thousand, one hundred sixty".