9661568 has 64 divisors (see below), whose sum is σ = 22619520. Its totient is φ = 4024320.

The previous prime is 9661567. The next prime is 9661571. The reversal of 9661568 is 8651669.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (9661567) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36605 + ... + 36867.

It is an arithmetic number, because the mean of its divisors is an integer number (353430).

Almost surely, 2^9661568 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 9661568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11309760).

9661568 is an abundant number, since it is smaller than the sum of its proper divisors (12957952).

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

9661568 is a wasteful number, since it uses less digits than its factorization.

9661568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 313 counting only the distinct ones).

The product of its digits is 77760, while the sum is 41.

The square root of 9661568 is about 3108.3062912139. The cubic root of 9661568 is about 212.9850915675.

The spelling of 9661568 in words is "nine million, six hundred sixty-one thousand, five hundred sixty-eight".