9056800 has 36 divisors (see below), whose sum is σ = 22111866. Its totient is φ = 3622400.

The previous prime is 9056783. The next prime is 9056819. The reversal of 9056800 is 86509.

It can be written as a sum of positive squares in 3 ways, for example, as 4511376 + 4545424 = 2124^2 + 2132^2 .

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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, 4861 + ... + 6460.

Almost surely, 2^9056800 is an apocalyptic number.

It is an amenable number.

9056800 is an abundant number, since it is smaller than the sum of its proper divisors (13055066).

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

9056800 is a wasteful number, since it uses less digits than its factorization.

9056800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11341 (or 11328 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 9056800 is about 3009.4517773176. The cubic root of 9056800 is about 208.4450529681.

Subtracting from 9056800 its product of nonzero digits (2160), we obtain a triangular number (9054640 = T₄₂₅₅).

The spelling of 9056800 in words is "nine million, fifty-six thousand, eight hundred".