6528816 has 160 divisors (see below), whose sum is σ = 22855680. Its totient is φ = 1741824.

The previous prime is 6528811. The next prime is 6528829. The reversal of 6528816 is 6188256.

It is a happy number.

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 (6528811) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51345 + ... + 51471.

It is an arithmetic number, because the mean of its divisors is an integer number (142848).

Almost surely, 2^6528816 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 6528816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11427840).

6528816 is an abundant number, since it is smaller than the sum of its proper divisors (16326864).

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

6528816 is a wasteful number, since it uses less digits than its factorization.

6528816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 156 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 6528816 is about 2555.1547898317. The cubic root of 6528816 is about 186.9009360243.

The spelling of 6528816 in words is "six million, five hundred twenty-eight thousand, eight hundred sixteen".