8217968 has 40 divisors (see below), whose sum is σ = 17717616. Its totient is φ = 3660800.

The previous prime is 8217967. The next prime is 8217973. The reversal of 8217968 is 8697128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8217967) 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 7 ways as a sum of consecutive naturals, for example, 8888 + ... + 9768.

Almost surely, 2^8217968 is an apocalyptic number.

8217968 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8217968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8858808).

8217968 is an abundant number, since it is smaller than the sum of its proper divisors (9499648).

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

8217968 is a wasteful number, since it uses less digits than its factorization.

8217968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953 (or 947 counting only the distinct ones).

The product of its digits is 48384, while the sum is 41.

The square root of 8217968 is about 2866.6998447692. The cubic root of 8217968 is about 201.8001487110.

The spelling of 8217968 in words is "eight million, two hundred seventeen thousand, nine hundred sixty-eight".