9895706600 has 96 divisors (see below), whose sum is σ = 24824583000. Its totient is φ = 3646832640.

The previous prime is 9895706473. The next prime is 9895706609. The reversal of 9895706600 is 66075989.

It can be written as a sum of positive squares in 12 ways, for example, as 30052324 + 9865654276 = 5482^2 + 99326^2 .

It is a super-2 number, since 2×9895706600² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is not an unprimeable number, because it can be changed into a prime (9895706609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1476056 + ... + 1482744.

Almost surely, 2^9895706600 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 9895706600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12412291500).

9895706600 is an abundant number, since it is smaller than the sum of its proper divisors (14928876400).

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

9895706600 is a wasteful number, since it uses less digits than its factorization.

9895706600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7287 (or 7278 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 50.

The square root of 9895706600 is about 99477.1662242145. The cubic root of 9895706600 is about 2146.9187230017.

The spelling of 9895706600 in words is "nine billion, eight hundred ninety-five million, seven hundred six thousand, six hundred".