9681568 has 72 divisors (see below), whose sum is σ = 22337532. Its totient is φ = 4091904.

The previous prime is 9681559. The next prime is 9681569. The reversal of 9681568 is 8651869.

It can be written as a sum of positive squares in 6 ways, for example, as 8363664 + 1317904 = 2892^2 + 1148^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9681569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 261646 + ... + 261682.

Almost surely, 2^9681568 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 9681568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11168766).

9681568 is an abundant number, since it is smaller than the sum of its proper divisors (12655964).

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

9681568 is a wasteful number, since it uses less digits than its factorization.

9681568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 69 counting only the distinct ones).

The product of its digits is 103680, while the sum is 43.

The square root of 9681568 is about 3111.5218141610. The cubic root of 9681568 is about 213.1319540620.

It can be divided in two parts, 968 and 1568, that multiplied together give a square (1517824 = 1232²).

The spelling of 9681568 in words is "nine million, six hundred eighty-one thousand, five hundred sixty-eight".