6564448 has 48 divisors (see below), whose sum is σ = 14941584. Its totient is φ = 2805760.

The previous prime is 6564419. The next prime is 6564449. The reversal of 6564448 is 8444656.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6564449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5436 + ... + 6532.

It is an arithmetic number, because the mean of its divisors is an integer number (311283).

Almost surely, 2^6564448 is an apocalyptic number.

6564448 is a gapful number since it is divisible by the number (68) 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 6564448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7470792).

6564448 is an abundant number, since it is smaller than the sum of its proper divisors (8377136).

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

6564448 is a wasteful number, since it uses less digits than its factorization.

6564448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135 (or 1127 counting only the distinct ones).

The product of its digits is 92160, while the sum is 37.

The square root of 6564448 is about 2562.1178739473. The cubic root of 6564448 is about 187.2403327029.

The spelling of 6564448 in words is "six million, five hundred sixty-four thousand, four hundred forty-eight".