8688820 has 48 divisors (see below), whose sum is σ = 21264768. Its totient is φ = 2920320.

The previous prime is 8688817. The next prime is 8688829. The reversal of 8688820 is 288868.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8688829) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6835 + ... + 8005.

It is an arithmetic number, because the mean of its divisors is an integer number (443016).

Almost surely, 2^8688820 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 8688820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10632384).

8688820 is an abundant number, since it is smaller than the sum of its proper divisors (12575948).

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

8688820 is a wasteful number, since it uses less digits than its factorization.

8688820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 40.

The square root of 8688820 is about 2947.6804440102. The cubic root of 8688820 is about 205.5828741659.

The spelling of 8688820 in words is "eight million, six hundred eighty-eight thousand, eight hundred twenty".