6528540 has 48 divisors (see below), whose sum is σ = 18633888. Its totient is φ = 1707264.

The previous prime is 6528517. The next prime is 6528541. The reversal of 6528540 is 458256.

6528540 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 6528498 and 6528507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6528541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2154 + ... + 4206.

It is an arithmetic number, because the mean of its divisors is an integer number (388206).

Almost surely, 2^6528540 is an apocalyptic number.

6528540 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 6528540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9316944).

6528540 is an abundant number, since it is smaller than the sum of its proper divisors (12105348).

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

6528540 is a wasteful number, since it uses less digits than its factorization.

6528540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2118 (or 2116 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 6528540 is about 2555.1007807912. The cubic root of 6528540 is about 186.8983022959.

The spelling of 6528540 in words is "six million, five hundred twenty-eight thousand, five hundred forty".