8687616168 has 128 divisors (see below), whose sum is σ = 27168261120. Its totient is φ = 2249026560.

The previous prime is 8687616149. The next prime is 8687616187. The reversal of 8687616168 is 8616167868.

It is an interprime number because it is at equal distance from previous prime (8687616149) and next prime (8687616187).

It is a nude number because it is divisible by every one of its digits.

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 31 ways as a sum of consecutive naturals, for example, 559680 + ... + 574992.

It is an arithmetic number, because the mean of its divisors is an integer number (212252040).

Almost surely, 2^8687616168 is an apocalyptic number.

8687616168 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 8687616168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13584130560).

8687616168 is an abundant number, since it is smaller than the sum of its proper divisors (18480644952).

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

8687616168 is a wasteful number, since it uses less digits than its factorization.

8687616168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15647 (or 15643 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 57.

The square root of 8687616168 is about 93207.3825831409. The cubic root of 8687616168 is about 2055.7337925659.

The spelling of 8687616168 in words is "eight billion, six hundred eighty-seven million, six hundred sixteen thousand, one hundred sixty-eight".