8205320 has 16 divisors (see below), whose sum is σ = 18462060. Its totient is φ = 3282112.

The previous prime is 8205313. The next prime is 8205361. The reversal of 8205320 is 235028.

It can be written as a sum of positive squares in 2 ways, for example, as 7941124 + 264196 = 2818^2 + 514^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 8205292 and 8205301.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 102527 + ... + 102606.

Almost surely, 2^8205320 is an apocalyptic number.

It is an amenable number.

8205320 is an abundant number, since it is smaller than the sum of its proper divisors (10256740).

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

8205320 is a wasteful number, since it uses less digits than its factorization.

8205320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205144 (or 205140 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 8205320 is about 2864.4929743325. The cubic root of 8205320 is about 201.6965675978.

The spelling of 8205320 in words is "eight million, two hundred five thousand, three hundred twenty".