9670608600 has 384 divisors, whose sum is σ = 32874681600. Its totient is φ = 2343168000.

The previous prime is 9670608557. The next prime is 9670608601. The reversal of 9670608600 is 68060769.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9670608601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42601687 + ... + 42601913.

It is an arithmetic number, because the mean of its divisors is an integer number (85611150).

Almost surely, 2^9670608600 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 9670608600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16437340800).

9670608600 is an abundant number, since it is smaller than the sum of its proper divisors (23204073000).

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

9670608600 is a wasteful number, since it uses less digits than its factorization.

9670608600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 9670608600 is about 98339.2525902043. The cubic root of 9670608600 is about 2130.5150289761.

The spelling of 9670608600 in words is "nine billion, six hundred seventy million, six hundred eight thousand, six hundred".