9895600 has 120 divisors (see below), whose sum is σ = 28091952. Its totient is φ = 3302400.

The previous prime is 9895591. The next prime is 9895601. The reversal of 9895600 is 65989.

9895600 = 25³ + 26³ + ... + 79³.

It is a self number, because there is not a number n which added to its sum of digits gives 9895600.

It is not an unprimeable number, because it can be changed into a prime (9895601) 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, 57114 + ... + 57286.

Almost surely, 2^9895600 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 9895600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14045976).

9895600 is an abundant number, since it is smaller than the sum of its proper divisors (18196352).

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

9895600 is a wasteful number, since it uses less digits than its factorization.

9895600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 37.

The square root of 9895600 is about 3145.7272609049. The cubic root of 9895600 is about 214.6911013855.

The spelling of 9895600 in words is "nine million, eight hundred ninety-five thousand, six hundred".