8628864 has 64 divisors (see below), whose sum is σ = 23941440. Its totient is φ = 2748416.

The previous prime is 8628859. The next prime is 8628883. The reversal of 8628864 is 4688268.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8344 + ... + 9320.

It is an arithmetic number, because the mean of its divisors is an integer number (374085).

Almost surely, 2^8628864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8628864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11970720).

8628864 is an abundant number, since it is smaller than the sum of its proper divisors (15312576).

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

8628864 is a wasteful number, since it uses less digits than its factorization.

8628864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017 (or 1005 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 8628864 is about 2937.4928085018. The cubic root of 8628864 is about 205.1089169385.

The spelling of 8628864 in words is "eight million, six hundred twenty-eight thousand, eight hundred sixty-four".