8082816 has 128 divisors (see below), whose sum is σ = 25589760. Its totient is φ = 2211840.

The previous prime is 8082799. The next prime is 8082817. The reversal of 8082816 is 6182808.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8082817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83280 + ... + 83376.

It is an arithmetic number, because the mean of its divisors is an integer number (199920).

Almost surely, 2^8082816 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 8082816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12794880).

8082816 is an abundant number, since it is smaller than the sum of its proper divisors (17506944).

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

8082816 is a wasteful number, since it uses less digits than its factorization.

8082816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 8082816 is about 2843.0293702317. The cubic root of 8082816 is about 200.6877655152.

The spelling of 8082816 in words is "eight million, eighty-two thousand, eight hundred sixteen".