8564864 has 96 divisors (see below), whose sum is σ = 21705600. Its totient is φ = 3294720.

The previous prime is 8564863. The next prime is 8564867. The reversal of 8564864 is 4684658.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (8564861) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108377 + ... + 108455.

It is an arithmetic number, because the mean of its divisors is an integer number (226100).

Almost surely, 2^8564864 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 8564864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10852800).

8564864 is an abundant number, since it is smaller than the sum of its proper divisors (13140736).

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

8564864 is a wasteful number, since it uses less digits than its factorization.

8564864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 99 counting only the distinct ones).

The product of its digits is 184320, while the sum is 41.

The square root of 8564864 is about 2926.5788901036. The cubic root of 8564864 is about 204.6005626839.

The spelling of 8564864 in words is "eight million, five hundred sixty-four thousand, eight hundred sixty-four".