8815200 has 72 divisors (see below), whose sum is σ = 28701288. Its totient is φ = 2350080.

The previous prime is 8815193. The next prime is 8815201. The reversal of 8815200 is 25188.

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 (8815201) 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 11 ways as a sum of consecutive naturals, for example, 564 + ... + 4236.

It is an arithmetic number, because the mean of its divisors is an integer number (398629).

Almost surely, 2^8815200 is an apocalyptic number.

8815200 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 8815200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14350644).

8815200 is an abundant number, since it is smaller than the sum of its proper divisors (19886088).

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

8815200 is a wasteful number, since it uses less digits than its factorization.

8815200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3696 (or 3683 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 8815200 is about 2969.0402489694. The cubic root of 8815200 is about 206.5748233367.

The spelling of 8815200 in words is "eight million, eight hundred fifteen thousand, two hundred".