8247561968 has 80 divisors (see below), whose sum is σ = 17402636160. Its totient is φ = 3771187200.

The previous prime is 8247561967. The next prime is 8247561983. The reversal of 8247561968 is 8691657428.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8247561967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3020828 + ... + 3023556.

It is an arithmetic number, because the mean of its divisors is an integer number (217532952).

Almost surely, 2^8247561968 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 8247561968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8701318080).

8247561968 is an abundant number, since it is smaller than the sum of its proper divisors (9155074192).

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

8247561968 is a wasteful number, since it uses less digits than its factorization.

8247561968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3066 (or 3060 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 56.

The square root of 8247561968 is about 90816.0887067925. The cubic root of 8247561968 is about 2020.4209468121.

The spelling of 8247561968 in words is "eight billion, two hundred forty-seven million, five hundred sixty-one thousand, nine hundred sixty-eight".