8968260224 has 256 divisors, whose sum is σ = 23771059200. Its totient is φ = 3264675840.

The previous prime is 8968260187. The next prime is 8968260229. The reversal of 8968260224 is 4220628698.

It is not an unprimeable number, because it can be changed into a prime (8968260229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15542624 + ... + 15543200.

It is an arithmetic number, because the mean of its divisors is an integer number (92855700).

Almost surely, 2^8968260224 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 8968260224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11885529600).

8968260224 is an abundant number, since it is smaller than the sum of its proper divisors (14802798976).

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

8968260224 is a wasteful number, since it uses less digits than its factorization.

8968260224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 47.

The square root of 8968260224 is about 94700.8987496951. The cubic root of 8968260224 is about 2077.6357060781.

The spelling of 8968260224 in words is "eight billion, nine hundred sixty-eight million, two hundred sixty thousand, two hundred twenty-four".