8005668 has 24 divisors (see below), whose sum is σ = 20378400. Its totient is φ = 2425920.

The previous prime is 8005667. The next prime is 8005681. The reversal of 8005668 is 8665008.

8005668 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (8005663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30193 + ... + 30456.

It is an arithmetic number, because the mean of its divisors is an integer number (849100).

Almost surely, 2^8005668 is an apocalyptic number.

It is an amenable number.

8005668 is an abundant number, since it is smaller than the sum of its proper divisors (12372732).

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

8005668 is a wasteful number, since it uses less digits than its factorization.

8005668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60667 (or 60665 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 8005668 is about 2829.4289176440. The cubic root of 8005668 is about 200.0472221828.

The spelling of 8005668 in words is "eight million, five thousand, six hundred sixty-eight".