9115600 has 60 divisors (see below), whose sum is σ = 23598316. Its totient is φ = 3363840.

The previous prime is 9115549. The next prime is 9115633. The reversal of 9115600 is 65119.

It can be written as a sum of positive squares in 6 ways, for example, as 3297856 + 5817744 = 1816^2 + 2412^2 .

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 11 ways as a sum of consecutive naturals, for example, 4324 + ... + 6076.

Almost surely, 2^9115600 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 9115600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11799158).

9115600 is an abundant number, since it is smaller than the sum of its proper divisors (14482716).

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

9115600 is a wasteful number, since it uses less digits than its factorization.

9115600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1784 (or 1773 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 22.

The square root of 9115600 is about 3019.2051934243. The cubic root of 9115600 is about 208.8951803011.

It can be divided in two parts, 9 and 115600, that multiplied together give a square (1040400 = 1020²).

The spelling of 9115600 in words is "nine million, one hundred fifteen thousand, six hundred".