8205968 has 20 divisors (see below), whose sum is σ = 16834860. Its totient is φ = 3861504.

The previous prime is 8205949. The next prime is 8205973. The reversal of 8205968 is 8695028.

It can be written as a sum of positive squares in 2 ways, for example, as 5607424 + 2598544 = 2368^2 + 1612^2 .

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, 14813 + ... + 15356.

It is an arithmetic number, because the mean of its divisors is an integer number (841743).

Almost surely, 2^8205968 is an apocalyptic number.

It is an amenable number.

8205968 is an abundant number, since it is smaller than the sum of its proper divisors (8628892).

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

8205968 is a wasteful number, since it uses less digits than its factorization.

8205968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30194 (or 30188 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 38.

The square root of 8205968 is about 2864.6060811218. The cubic root of 8205968 is about 201.7018769960.

The spelling of 8205968 in words is "eight million, two hundred five thousand, nine hundred sixty-eight".