8676864 has 120 divisors (see below), whose sum is σ = 28725840. Its totient is φ = 2469888.

The previous prime is 8676847. The next prime is 8676883. The reversal of 8676864 is 4686768.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32122 + ... + 32390.

It is an arithmetic number, because the mean of its divisors is an integer number (239382).

Almost surely, 2^8676864 is an apocalyptic number.

8676864 is a gapful number since it is divisible by the number (84) 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 8676864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14362920).

8676864 is an abundant number, since it is smaller than the sum of its proper divisors (20048976).

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

8676864 is a wasteful number, since it uses less digits than its factorization.

8676864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 281 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 8676864 is about 2945.6517105727. The cubic root of 8676864 is about 205.4885354217.

The spelling of 8676864 in words is "eight million, six hundred seventy-six thousand, eight hundred sixty-four".