8688680 has 192 divisors, whose sum is σ = 27578880. Its totient is φ = 2419200.

The previous prime is 8688671. The next prime is 8688697. The reversal of 8688680 is 868868.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 280265 + ... + 280295.

It is an arithmetic number, because the mean of its divisors is an integer number (143640).

Almost surely, 2^8688680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8688680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13789440).

8688680 is an abundant number, since it is smaller than the sum of its proper divisors (18890200).

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

8688680 is a wasteful number, since it uses less digits than its factorization.

8688680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 44.

The square root of 8688680 is about 2947.6566964285. The cubic root of 8688680 is about 205.5817699976.

The spelling of 8688680 in words is "eight million, six hundred eighty-eight thousand, six hundred eighty".