8891688960 has 864 divisors, whose sum is σ = 39325759200. Its totient is φ = 1837301760.

The previous prime is 8891688947. The next prime is 8891688961. The reversal of 8891688960 is 698861988.

It is a super-2 number, since 2×8891688960² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (8891688961) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 49674151 + ... + 49674329.

It is an arithmetic number, because the mean of its divisors is an integer number (45515925).

Almost surely, 2^8891688960 is an apocalyptic number.

8891688960 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 8891688960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19662879600).

8891688960 is an abundant number, since it is smaller than the sum of its proper divisors (30434070240).

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

8891688960 is a wasteful number, since it uses less digits than its factorization.

8891688960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 63.

The square root of 8891688960 is about 94295.7526084818. The cubic root of 8891688960 is about 2071.7058262666.

The spelling of 8891688960 in words is "eight billion, eight hundred ninety-one million, six hundred eighty-eight thousand, nine hundred sixty".