9645600 has 72 divisors (see below), whose sum is σ = 31404240. Its totient is φ = 2571520.

The previous prime is 9645593. The next prime is 9645607. The reversal of 9645600 is 65469.

It is an interprime number because it is at equal distance from previous prime (9645593) and next prime (9645607).

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

It is not an unprimeable number, because it can be changed into a prime (9645607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 391 + ... + 4409.

It is an arithmetic number, because the mean of its divisors is an integer number (436170).

Almost surely, 2^9645600 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 9645600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15702120).

9645600 is an abundant number, since it is smaller than the sum of its proper divisors (21758640).

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

9645600 is a wasteful number, since it uses less digits than its factorization.

9645600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4042 (or 4029 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 9645600 is about 3105.7366275974. The cubic root of 9645600 is about 212.8676909798.

The spelling of 9645600 in words is "nine million, six hundred forty-five thousand, six hundred".