9600 has 48 divisors (see below), whose sum is σ = 31620. Its totient is φ = 2560.

The previous prime is 9587. The next prime is 9601. The reversal of 9600 is 69.

9600 is nontrivially palindromic in base 7.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 9600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9601) by changing a digit.

9600 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1918 + ... + 1922.

2⁹⁶⁰⁰ 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 9600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15810).

9600 is an abundant number, since it is smaller than the sum of its proper divisors (22020).

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

9600 is a wasteful number, since it uses less digits than its factorization.

9600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 9600 is about 97.9795897113. The cubic root of 9600 is about 21.2531713837.

Multiplying 9600 by its product of nonzero digits (54), we get a square (518400 = 720²).

Adding to 9600 its reverse (69), we get a palindrome (9669).

The spelling of 9600 in words is "nine thousand, six hundred".