8005161960 has 640 divisors, whose sum is σ = 30485030400. Its totient is φ = 1873428480.

The previous prime is 8005161881. The next prime is 8005161979. The reversal of 8005161960 is 691615008.

8005161960 is a `hidden beast` number, since 80 + 0 + 516 + 1 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 89945596 + ... + 89945684.

It is an arithmetic number, because the mean of its divisors is an integer number (47632860).

Almost surely, 2^8005161960 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 8005161960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15242515200).

8005161960 is an abundant number, since it is smaller than the sum of its proper divisors (22479868440).

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

8005161960 is a wasteful number, since it uses less digits than its factorization.

8005161960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 8005161960 is about 89471.5706803005. The cubic root of 8005161960 is about 2000.4300708462.

Adding to 8005161960 its reverse (691615008), we get a palindrome (8696776968).

The spelling of 8005161960 in words is "eight billion, five million, one hundred sixty-one thousand, nine hundred sixty".