8020871168 has 36 divisors (see below), whose sum is σ = 16045933995. Its totient is φ = 4008409088.

The previous prime is 8020871119. The next prime is 8020871179. The reversal of 8020871168 is 8611780208.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 4010435584 + 4010435584 = 63328^2 + 63328^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=63328.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 4052003 + ... + 4053981.

Almost surely, 2^8020871168 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 8020871168

8020871168 is an abundant number, since it is smaller than the sum of its proper divisors (8025062827).

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

8020871168 is an frugal number, since it uses more digits than its factorization.

8020871168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3980 (or 1981 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 41.

The square root of 8020871168 is about 89559.3164779634. The cubic root of 8020871168 is about 2001.7377536688.

The spelling of 8020871168 in words is "eight billion, twenty million, eight hundred seventy-one thousand, one hundred sixty-eight".