9115200 has 168 divisors, whose sum is σ = 33385760. Its totient is φ = 2419200.

The previous prime is 9115189. The next prime is 9115201. The reversal of 9115200 is 25119.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (9115201) 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, 43095 + ... + 43305.

Almost surely, 2^9115200 is an apocalyptic number.

9115200 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16692880).

9115200 is an abundant number, since it is smaller than the sum of its proper divisors (24270560).

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

9115200 is a wasteful number, since it uses less digits than its factorization.

9115200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 9115200 is about 3019.1389500982. The cubic root of 9115200 is about 208.8921247592.

The spelling of 9115200 in words is "nine million, one hundred fifteen thousand, two hundred".