8971648000 has 704 divisors, whose sum is σ = 29429637120. Its totient is φ = 2654208000.

The previous prime is 8971647967. The next prime is 8971648009. The reversal of 8971648000 is 8461798.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8971648009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 289407985 + ... + 289408015.

Almost surely, 2^8971648000 is an apocalyptic number.

8971648000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8971648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14714818560).

8971648000 is an abundant number, since it is smaller than the sum of its proper divisors (20457989120).

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

8971648000 is a wasteful number, since it uses less digits than its factorization.

8971648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 43.

The square root of 8971648000 is about 94718.7837759755. The cubic root of 8971648000 is about 2077.8972833189.

The spelling of 8971648000 in words is "eight billion, nine hundred seventy-one million, six hundred forty-eight thousand".