8089267968 has 216 divisors, whose sum is σ = 24734493056. Its totient is φ = 2538086400.

The previous prime is 8089267957. The next prime is 8089268003. The reversal of 8089267968 is 8697629808.

It is a super-2 number, since 2×8089267968² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 2641158 + ... + 2644218.

Almost surely, 2^8089267968 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 8089267968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12367246528).

8089267968 is an abundant number, since it is smaller than the sum of its proper divisors (16645225088).

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

8089267968 is a wasteful number, since it uses less digits than its factorization.

8089267968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3151 (or 3134 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The square root of 8089267968 is about 89940.3578378472. The cubic root of 8089267968 is about 2007.4114982538.

The spelling of 8089267968 in words is "eight billion, eighty-nine million, two hundred sixty-seven thousand, nine hundred sixty-eight".