8682000 has 80 divisors (see below), whose sum is σ = 28010112. Its totient is φ = 2313600.

The previous prime is 8681999. The next prime is 8682007. The reversal of 8682000 is 2868.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (8682007) 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, 5277 + ... + 6723.

Almost surely, 2^8682000 is an apocalyptic number.

8682000 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 8682000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14005056).

8682000 is an abundant number, since it is smaller than the sum of its proper divisors (19328112).

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

8682000 is a wasteful number, since it uses less digits than its factorization.

8682000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1473 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 8682000 is about 2946.5233750982. The cubic root of 8682000 is about 205.5290716089.

Adding to 8682000 its reverse (2868), we get a palindrome (8684868).

The spelling of 8682000 in words is "eight million, six hundred eighty-two thousand".