6564240 has 100 divisors (see below), whose sum is σ = 22821084. Its totient is φ = 1748736.

The previous prime is 6564211. The next prime is 6564241. The reversal of 6564240 is 424656.

It is a happy number.

6564240 is a `hidden beast` number, since 656 + 4 + 2 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 746496 + 5817744 = 864^2 + 2412^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6564241) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5974 + ... + 6986.

Almost surely, 2^6564240 is an apocalyptic number.

6564240 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 6564240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11410542).

6564240 is an abundant number, since it is smaller than the sum of its proper divisors (16256844).

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

6564240 is a wasteful number, since it uses less digits than its factorization.

6564240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 6564240 is about 2562.0772822068. The cubic root of 6564240 is about 187.2383550601.

Adding to 6564240 its reverse (424656), we get a palindrome (6988896).

The spelling of 6564240 in words is "six million, five hundred sixty-four thousand, two hundred forty".