8676000 has 144 divisors (see below), whose sum is σ = 30918888. Its totient is φ = 2304000.

The previous prime is 8675923. The next prime is 8676013. The reversal of 8676000 is 6768.

It can be written as a sum of positive squares in 4 ways, for example, as 3640464 + 5035536 = 1908^2 + 2244^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an Ulam number.

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 23 ways as a sum of consecutive naturals, for example, 35880 + ... + 36120.

Almost surely, 2^8676000 is an apocalyptic number.

8676000 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 8676000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15459444).

8676000 is an abundant number, since it is smaller than the sum of its proper divisors (22242888).

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

8676000 is a wasteful number, since it uses less digits than its factorization.

8676000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 8676000 is about 2945.5050500721. The cubic root of 8676000 is about 205.4817146783.

The spelling of 8676000 in words is "eight million, six hundred seventy-six thousand".