6816528 has 80 divisors (see below), whose sum is σ = 20236800. Its totient is φ = 2194560.

The previous prime is 6816527. The next prime is 6816571. The reversal of 6816528 is 8256186.

It is a happy number.

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 6816492 and 6816501.

It is not an unprimeable number, because it can be changed into a prime (6816527) 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, 13138 + ... + 13646.

It is an arithmetic number, because the mean of its divisors is an integer number (252960).

Almost surely, 2^6816528 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 6816528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10118400).

6816528 is an abundant number, since it is smaller than the sum of its proper divisors (13420272).

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

6816528 is a wasteful number, since it uses less digits than its factorization.

6816528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 545 counting only the distinct ones).

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

The square root of 6816528 is about 2610.8481380578. The cubic root of 6816528 is about 189.6070178463.

The spelling of 6816528 in words is "six million, eight hundred sixteen thousand, five hundred twenty-eight".