9967568 has 40 divisors (see below), whose sum is σ = 20993448. Its totient is φ = 4557312.

The previous prime is 9967549. The next prime is 9967597. The reversal of 9967568 is 8657699.

It can be written as a sum of positive squares in 4 ways, for example, as 652864 + 9314704 = 808^2 + 3052^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35846 + ... + 36122.

Almost surely, 2^9967568 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 9967568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10496724).

9967568 is an abundant number, since it is smaller than the sum of its proper divisors (11025880).

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

9967568 is a wasteful number, since it uses less digits than its factorization.

9967568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 465 counting only the distinct ones).

The product of its digits is 816480, while the sum is 50.

The square root of 9967568 is about 3157.1455462173. The cubic root of 9967568 is about 215.2103080058.

The spelling of 9967568 in words is "nine million, nine hundred sixty-seven thousand, five hundred sixty-eight".