9665920 has 64 divisors (see below), whose sum is σ = 25226640. Its totient is φ = 3512320.

The previous prime is 9665891. The next prime is 9665923. The reversal of 9665920 is 295669.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 9665920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9665923) 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 7 ways as a sum of consecutive naturals, for example, 6354 + ... + 7726.

Almost surely, 2^9665920 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 9665920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12613320).

9665920 is an abundant number, since it is smaller than the sum of its proper divisors (15560720).

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

9665920 is a wasteful number, since it uses less digits than its factorization.

9665920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1403 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 37.

The square root of 9665920 is about 3109.0062721069. The cubic root of 9665920 is about 213.0170660869.

It can be divided in two parts, 9665 and 920, that added together give a triangular number (10585 = T₁₄₅).

The spelling of 9665920 in words is "nine million, six hundred sixty-five thousand, nine hundred twenty".