9897600 has 96 divisors (see below), whose sum is σ = 32631840. Its totient is φ = 2636800.

The previous prime is 9897599. The next prime is 9897617. The reversal of 9897600 is 67989.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9085 + ... + 10115.

It is an arithmetic number, because the mean of its divisors is an integer number (339915).

Almost surely, 2^9897600 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 9897600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16315920).

9897600 is an abundant number, since it is smaller than the sum of its proper divisors (22734240).

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

9897600 is a wasteful number, since it uses less digits than its factorization.

9897600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 9897600 is about 3146.0451363577. The cubic root of 9897600 is about 214.7055641528.

The spelling of 9897600 in words is "nine million, eight hundred ninety-seven thousand, six hundred".