6564840 has 64 divisors (see below), whose sum is σ = 19863360. Its totient is φ = 1735680.

The previous prime is 6564827. The next prime is 6564847. The reversal of 6564840 is 484656.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (6564847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27120 + ... + 27360.

It is an arithmetic number, because the mean of its divisors is an integer number (310365).

Almost surely, 2^6564840 is an apocalyptic number.

6564840 is a gapful number since it is divisible by the number (60) 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 6564840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9931680).

6564840 is an abundant number, since it is smaller than the sum of its proper divisors (13298520).

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

6564840 is a wasteful number, since it uses less digits than its factorization.

6564840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 478 counting only the distinct ones).

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

The square root of 6564840 is about 2562.1943720179. The cubic root of 6564840 is about 187.2440596855.

The spelling of 6564840 in words is "six million, five hundred sixty-four thousand, eight hundred forty".