8930271168 has 896 divisors, whose sum is σ = 35275520000. Its totient is φ = 2194698240.

The previous prime is 8930271127. The next prime is 8930271221. The reversal of 8930271168 is 8611720398.

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 127 ways as a sum of consecutive naturals, for example, 146397858 + ... + 146397918.

It is an arithmetic number, because the mean of its divisors is an integer number (39370000).

Almost surely, 2^8930271168 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 8930271168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17637760000).

8930271168 is an abundant number, since it is smaller than the sum of its proper divisors (26345248832).

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

8930271168 is a wasteful number, since it uses less digits than its factorization.

8930271168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 8930271168 is about 94500.1119999336. Note that the first 3 decimals coincide. The cubic root of 8930271168 is about 2074.6979706912.

The spelling of 8930271168 in words is "eight billion, nine hundred thirty million, two hundred seventy-one thousand, one hundred sixty-eight".