8680000 has 140 divisors (see below), whose sum is σ = 25391872. Its totient is φ = 2880000.

The previous prime is 8679991. The next prime is 8680003. The reversal of 8680000 is 868.

It is a tau number, because it is divible by the number of its divisors (140).

It is not an unprimeable number, because it can be changed into a prime (8680003) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 279985 + ... + 280015.

Almost surely, 2^8680000 is an apocalyptic number.

8680000 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 8680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12695936).

8680000 is an abundant number, since it is smaller than the sum of its proper divisors (16711872).

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

8680000 is an equidigital number, since it uses as much as digits as its factorization.

8680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 8680000 is about 2946.1839725312. The cubic root of 8680000 is about 205.5132883903.

Adding to 8680000 its reverse (868), we get a palindrome (8680868).

Multiplying 8680000 by its reverse (868), we get a square (7534240000 = 86800²).

8680000 divided by its reverse (868) gives a 4-th power (10000 = 10⁴).

The spelling of 8680000 in words is "eight million, six hundred eighty thousand".