6528960 has 84 divisors (see below), whose sum is σ = 22466808. Its totient is φ = 1740288.

The previous prime is 6528959. The next prime is 6528961. The reversal of 6528960 is 698256.

It is an interprime number because it is at equal distance from previous prime (6528959) and next prime (6528961).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6528961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1747 + ... + 4013.

It is an arithmetic number, because the mean of its divisors is an integer number (267462).

Almost surely, 2^6528960 is an apocalyptic number.

6528960 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 6528960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11233404).

6528960 is an abundant number, since it is smaller than the sum of its proper divisors (15937848).

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

6528960 is a wasteful number, since it uses less digits than its factorization.

6528960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2290 (or 2277 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 6528960 is about 2555.1829680084. The cubic root of 6528960 is about 186.9023101140.

The spelling of 6528960 in words is "six million, five hundred twenty-eight thousand, nine hundred sixty".