8867887688 has 96 divisors (see below), whose sum is σ = 18701928000. Its totient is φ = 3937929600.

The previous prime is 8867887673. The next prime is 8867887709.

8867887688 is nontrivially palindromic in base 10.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 10569173 + ... + 10570011.

It is an arithmetic number, because the mean of its divisors is an integer number (194811750).

Almost surely, 2^8867887688 is an apocalyptic number.

8867887688 is a gapful number since it is divisible by the number (88) 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 8867887688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9350964000).

8867887688 is an abundant number, since it is smaller than the sum of its proper divisors (9834040312).

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

8867887688 is a wasteful number, since it uses less digits than its factorization.

8867887688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1092 counting only the distinct ones).

The product of its digits is 462422016, while the sum is 74.

The square root of 8867887688 is about 94169.4626086398. The cubic root of 8867887688 is about 2069.8556604685.

The spelling of 8867887688 in words is "eight billion, eight hundred sixty-seven million, eight hundred eighty-seven thousand, six hundred eighty-eight".