6528640 has 48 divisors (see below), whose sum is σ = 15763590. Its totient is φ = 2585600.

The previous prime is 6528637. The next prime is 6528649. The reversal of 6528640 is 468256.

It can be written as a sum of positive squares in 3 ways, for example, as 6431296 + 97344 = 2536^2 + 312^2 .

It is not an unprimeable number, because it can be changed into a prime (6528649) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 64590 + ... + 64690.

Almost surely, 2^6528640 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 6528640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7881795).

6528640 is an abundant number, since it is smaller than the sum of its proper divisors (9234950).

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

6528640 is an equidigital number, since it uses as much as digits as its factorization.

6528640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 6528640 is about 2555.1203494161. The cubic root of 6528640 is about 186.8992565539.

The spelling of 6528640 in words is "six million, five hundred twenty-eight thousand, six hundred forty".