8045968 has 60 divisors (see below), whose sum is σ = 18897600. Its totient is φ = 3250368.

The previous prime is 8045953. The next prime is 8045969. The reversal of 8045968 is 8695408.

It is a self number, because there is not a number n which added to its sum of digits gives 8045968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8045969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40333 + ... + 40531.

It is an arithmetic number, because the mean of its divisors is an integer number (314960).

Almost surely, 2^8045968 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 8045968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9448800).

8045968 is an abundant number, since it is smaller than the sum of its proper divisors (10851632).

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

8045968 is a wasteful number, since it uses less digits than its factorization.

8045968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 8045968 is about 2836.5415561913. The cubic root of 8045968 is about 200.3823352995.

The spelling of 8045968 in words is "eight million, forty-five thousand, nine hundred sixty-eight".