9609600 has 384 divisors, whose sum is σ = 42497280. Its totient is φ = 1843200.

The previous prime is 9609583. The next prime is 9609601. The reversal of 9609600 is 69069.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9609601) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 739194 + ... + 739206.

It is an arithmetic number, because the mean of its divisors is an integer number (110670).

Almost surely, 2^9609600 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 9609600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21248640).

9609600 is an abundant number, since it is smaller than the sum of its proper divisors (32887680).

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

9609600 is a wasteful number, since it uses less digits than its factorization.

9609600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 9609600 is about 3099.9354831996. The cubic root of 9609600 is about 212.6025341396.

The spelling of 9609600 in words is "nine million, six hundred nine thousand, six hundred".