9675600 has 120 divisors (see below), whose sum is σ = 33857952. Its totient is φ = 2342400.

The previous prime is 9675599. The next prime is 9675623. The reversal of 9675600 is 65769.

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 (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12834 + ... + 13566.

Almost surely, 2^9675600 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 9675600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16928976).

9675600 is an abundant number, since it is smaller than the sum of its proper divisors (24182352).

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

9675600 is a wasteful number, since it uses less digits than its factorization.

9675600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 9675600 is about 3110.5626500683. The cubic root of 9675600 is about 213.0881514826.

The spelling of 9675600 in words is "nine million, six hundred seventy-five thousand, six hundred".