8688 has 20 divisors (see below), whose sum is σ = 22568. Its totient is φ = 2880.

The previous prime is 8681. The next prime is 8689. The reversal of 8688 is 8868.

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

Its product of digits (3072) is a multiple of the sum of its prime factors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8681) by changing a digit.

8688 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 43 + ... + 138.

2^{8688} is an apocalyptic number.

It is an amenable number.

8688 is an abundant number, since it is smaller than the sum of its proper divisors (13880).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11284).

8688 is a wasteful number, since it uses less digits than its factorization.

8688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 186 counting only the distinct ones).

The product of its digits is 3072, while the sum is 30.

The square root of 8688 is about 93.2094415818. The cubic root of 8688 is about 20.5576406726.

It can be divided in two parts, 8 and 688, that added together give a palindrome (696).

The spelling of 8688 in words is "eight thousand, six hundred eighty-eight".

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