9825600 has 168 divisors, whose sum is σ = 34015680. Its totient is φ = 2478080.

The previous prime is 9825593. The next prime is 9825611. The reversal of 9825600 is 65289.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110356 + ... + 110444.

Almost surely, 2^9825600 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 9825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17007840).

9825600 is an abundant number, since it is smaller than the sum of its proper divisors (24190080).

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

9825600 is a wasteful number, since it uses less digits than its factorization.

9825600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 9825600 is about 3134.5813117544. The cubic root of 9825600 is about 214.1836720504.

The spelling of 9825600 in words is "nine million, eight hundred twenty-five thousand, six hundred".