8686080 has 240 divisors, whose sum is σ = 33513480. Its totient is φ = 2064384.

The previous prime is 8686049. The next prime is 8686087. The reversal of 8686080 is 806868.

8686080 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5531904 + 3154176 = 2352^2 + 1776^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8686087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 299506 + ... + 299534.

Almost surely, 2^8686080 is an apocalyptic number.

8686080 is a gapful number since it is divisible by the number (80) 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 8686080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16756740).

8686080 is an abundant number, since it is smaller than the sum of its proper divisors (24827400).

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

8686080 is a wasteful number, since it uses less digits than its factorization.

8686080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 8686080 is about 2947.2156351377. The cubic root of 8686080 is about 205.5612618604.

The spelling of 8686080 in words is "eight million, six hundred eighty-six thousand, eighty".