9660 has 48 divisors (see below), whose sum is σ = 32256. Its totient is φ = 2112.

The previous prime is 9649. The next prime is 9661. The reversal of 9660 is 669.

9660 = T₁₁ + T₁₂ + ... + T₃₈.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a plaindrome in base 16.

It is a nialpdrome in base 10.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 9660.

It is not an unprimeable number, because it can be changed into a prime (9661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 409 + ... + 431.

It is an arithmetic number, because the mean of its divisors is an integer number (672).

2⁹⁶⁶⁰ 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 9660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16128).

9660 is an abundant number, since it is smaller than the sum of its proper divisors (22596).

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

9660 is a wasteful number, since it uses less digits than its factorization.

9660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 9660 is about 98.2852990024. The cubic root of 9660 is about 21.2973568983.

The spelling of 9660 in words is "nine thousand, six hundred sixty".