9603600 has 120 divisors (see below), whose sum is σ = 31551552. Its totient is φ = 2496000.

The previous prime is 9603599. The next prime is 9603619. The reversal of 9603600 is 63069.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63525 + ... + 63675.

Almost surely, 2^9603600 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 9603600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15775776).

9603600 is an abundant number, since it is smaller than the sum of its proper divisors (21947952).

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

9603600 is a wasteful number, since it uses less digits than its factorization.

9603600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 9603600 is about 3098.9675700142. The cubic root of 9603600 is about 212.5582769806.

Adding to 9603600 its reverse (63069), we get a palindrome (9666669).

It can be divided in two parts, 960 and 3600, that added together give a triangular number (4560 = T₉₅).

The spelling of 9603600 in words is "nine million, six hundred three thousand, six hundred".