9607987200 has 360 divisors, whose sum is σ = 36340437952. Its totient is φ = 2194145280.

The previous prime is 9607987171. The next prime is 9607987217. The reversal of 9607987200 is 27897069.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 9607987200.

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, 8601042 + ... + 8602158.

Almost surely, 2^9607987200 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 9607987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18170218976).

9607987200 is an abundant number, since it is smaller than the sum of its proper divisors (26732450752).

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

9607987200 is a wasteful number, since it uses less digits than its factorization.

9607987200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 48.

The square root of 9607987200 is about 98020.3407461941. The cubic root of 9607987200 is about 2125.9063962609.

The spelling of 9607987200 in words is "nine billion, six hundred seven million, nine hundred eighty-seven thousand, two hundred".