9055200 has 288 divisors, whose sum is σ = 37497600. Its totient is φ = 1881600.

The previous prime is 9055187. The next prime is 9055201. The reversal of 9055200 is 25509.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9055201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 823195 + ... + 823205.

It is an arithmetic number, because the mean of its divisors is an integer number (130200).

Almost surely, 2^9055200 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 9055200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18748800).

9055200 is an abundant number, since it is smaller than the sum of its proper divisors (28442400).

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

9055200 is a wasteful number, since it uses less digits than its factorization.

9055200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 9055200 is about 3009.1859364287. The cubic root of 9055200 is about 208.4327774135.

It can be divided in two parts, 905 and 5200, that added together give a triangular number (6105 = T₁₁₀).

The spelling of 9055200 in words is "nine million, fifty-five thousand, two hundred".