8955200 has 84 divisors (see below), whose sum is σ = 22913340. Its totient is φ = 3440640.

The previous prime is 8955181. The next prime is 8955241. The reversal of 8955200 is 25598.

It can be written as a sum of positive squares in 6 ways, for example, as 614656 + 8340544 = 784^2 + 2888^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an Ulam number.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 46304 + ... + 46496.

Almost surely, 2^8955200 is an apocalyptic number.

8955200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8955200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11456670).

8955200 is an abundant number, since it is smaller than the sum of its proper divisors (13958140).

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

8955200 is a wasteful number, since it uses less digits than its factorization.

8955200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 29.

The square root of 8955200 is about 2992.5240182829. The cubic root of 8955200 is about 207.6626682054.

The spelling of 8955200 in words is "eight million, nine hundred fifty-five thousand, two hundred".