9036800 has 66 divisors (see below), whose sum is σ = 22463778. Its totient is φ = 3604480.

The previous prime is 9036767. The next prime is 9036803. The reversal of 9036800 is 86309.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 369664 + 8667136 = 608^2 + 2944^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 9036800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9036803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25424 + ... + 25776.

Almost surely, 2^9036800 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 9036800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11231889).

9036800 is an abundant number, since it is smaller than the sum of its proper divisors (13426978).

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

9036800 is a wasteful number, since it uses less digits than its factorization.

9036800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 9036800 is about 3006.1270764889. The cubic root of 9036800 is about 208.2915044911.

The spelling of 9036800 in words is "nine million, thirty-six thousand, eight hundred".