9608000 has 56 divisors (see below), whose sum is σ = 23814024. Its totient is φ = 3840000.

The previous prime is 9607987. The next prime is 9608003. The reversal of 9608000 is 8069.

It can be written as a sum of positive squares in 4 ways, for example, as 2930944 + 6677056 = 1712^2 + 2584^2 .

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9608003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7400 + ... + 8600.

Almost surely, 2^9608000 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 9608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11907012).

9608000 is an abundant number, since it is smaller than the sum of its proper divisors (14206024).

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

9608000 is a wasteful number, since it uses less digits than its factorization.

9608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 9608000 is about 3099.6774025695. The cubic root of 9608000 is about 212.5907340322.

The spelling of 9608000 in words is "nine million, six hundred eight thousand".