8904271968 has 144 divisors (see below), whose sum is σ = 26852965776. Its totient is φ = 2789130240.

The previous prime is 8904271921. The next prime is 8904271979. The reversal of 8904271968 is 8691724098.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×8904271968² (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, 4753080 + ... + 4754952.

It is an arithmetic number, because the mean of its divisors is an integer number (186478929).

Almost surely, 2^8904271968 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 8904271968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13426482888).

8904271968 is an abundant number, since it is smaller than the sum of its proper divisors (17948693808).

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

8904271968 is a wasteful number, since it uses less digits than its factorization.

8904271968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2877 (or 2866 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The square root of 8904271968 is about 94362.4499893893. The cubic root of 8904271968 is about 2072.6826187140.

The spelling of 8904271968 in words is "eight billion, nine hundred four million, two hundred seventy-one thousand, nine hundred sixty-eight".