8564640 has 96 divisors (see below), whose sum is σ = 30844800. Its totient is φ = 1956864.

The previous prime is 8564597. The next prime is 8564653. The reversal of 8564640 is 464658.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2086 + ... + 4634.

It is an arithmetic number, because the mean of its divisors is an integer number (321300).

Almost surely, 2^8564640 is an apocalyptic number.

8564640 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 8564640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15422400).

8564640 is an abundant number, since it is smaller than the sum of its proper divisors (22280160).

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

8564640 is a wasteful number, since it uses less digits than its factorization.

8564640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2574 (or 2566 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 8564640 is about 2926.5406199129. The cubic root of 8564640 is about 204.5987790041.

The spelling of 8564640 in words is "eight million, five hundred sixty-four thousand, six hundred forty".