9661968 has 60 divisors (see below), whose sum is σ = 27250860. Its totient is φ = 3195648.

The previous prime is 9661957. The next prime is 9661969. The reversal of 9661968 is 8691669.

It can be written as a sum of positive squares in 2 ways, for example, as 9072144 + 589824 = 3012^2 + 768^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (9661969) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32830 + ... + 33122.

It is an arithmetic number, because the mean of its divisors is an integer number (454181).

Almost surely, 2^9661968 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 9661968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13625430).

9661968 is an abundant number, since it is smaller than the sum of its proper divisors (17588892).

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

9661968 is a wasteful number, since it uses less digits than its factorization.

9661968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 527 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 9661968 is about 3108.3706342713. The cubic root of 9661968 is about 212.9880308027.

Subtracting from 9661968 its reverse (8691669), we obtain a cube (970299 = 99³).

The spelling of 9661968 in words is "nine million, six hundred sixty-one thousand, nine hundred sixty-eight".