8960816000 has 128 divisors (see below), whose sum is σ = 22701332160. Its totient is φ = 3516364800.

The previous prime is 8960815987. The next prime is 8960816009. The reversal of 8960816000 is 6180698.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8960816009) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 842717 + ... + 853283.

Almost surely, 2^8960816000 is an apocalyptic number.

8960816000 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 8960816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11350666080).

8960816000 is an abundant number, since it is smaller than the sum of its proper divisors (13740516160).

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

8960816000 is a wasteful number, since it uses less digits than its factorization.

8960816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10649 (or 10627 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 38.

The square root of 8960816000 is about 94661.5867181614. The cubic root of 8960816000 is about 2077.0606905406.

Adding to 8960816000 its reverse (6180698), we get a palindrome (8966996698).

The spelling of 8960816000 in words is "eight billion, nine hundred sixty million, eight hundred sixteen thousand".