8005368 has 64 divisors (see below), whose sum is σ = 24226560. Its totient is φ = 2151936.

The previous prime is 8005367. The next prime is 8005379. The reversal of 8005368 is 8635008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8005367) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1455 + ... + 4257.

It is an arithmetic number, because the mean of its divisors is an integer number (378540).

Almost surely, 2^8005368 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 8005368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12113280).

8005368 is an abundant number, since it is smaller than the sum of its proper divisors (16221192).

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

8005368 is a wasteful number, since it uses less digits than its factorization.

8005368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2836 (or 2832 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 8005368 is about 2829.3759029157. The cubic root of 8005368 is about 200.0447233317.

The spelling of 8005368 in words is "eight million, five thousand, three hundred sixty-eight".