8205084 has 96 divisors (see below), whose sum is σ = 23284800. Its totient is φ = 2488320.

The previous prime is 8205079. The next prime is 8205097. The reversal of 8205084 is 4805028.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75222 + ... + 75330.

It is an arithmetic number, because the mean of its divisors is an integer number (242550).

Almost surely, 2^8205084 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 8205084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11642400).

8205084 is an abundant number, since it is smaller than the sum of its proper divisors (15079716).

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

8205084 is a wasteful number, since it uses less digits than its factorization.

8205084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 8205084 is about 2864.4517800096. The cubic root of 8205084 is about 201.6946338586.

The spelling of 8205084 in words is "eight million, two hundred five thousand, eighty-four".