9135600 has 120 divisors (see below), whose sum is σ = 30628992. Its totient is φ = 2323200.

The previous prime is 9135593. The next prime is 9135601. The reversal of 9135600 is 65319.

9135600 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9135601) 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, 27435 + ... + 27765.

Almost surely, 2^9135600 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 9135600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15314496).

9135600 is an abundant number, since it is smaller than the sum of its proper divisors (21493392).

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

9135600 is a wasteful number, since it uses less digits than its factorization.

9135600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 9135600 is about 3022.5155086451. The cubic root of 9135600 is about 209.0478435680.

The spelling of 9135600 in words is "nine million, one hundred thirty-five thousand, six hundred".