8944800 has 72 divisors (see below), whose sum is σ = 29123136. Its totient is φ = 2384640.

The previous prime is 8944777. The next prime is 8944853. The reversal of 8944800 is 84498.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 537 + ... + 4263.

It is an arithmetic number, because the mean of its divisors is an integer number (404488).

Almost surely, 2^8944800 is an apocalyptic number.

8944800 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 8944800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14561568).

8944800 is an abundant number, since it is smaller than the sum of its proper divisors (20178336).

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

8944800 is a wasteful number, since it uses less digits than its factorization.

8944800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3750 (or 3737 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 8944800 is about 2990.7858499063. The cubic root of 8944800 is about 207.5822483253.

The spelling of 8944800 in words is "eight million, nine hundred forty-four thousand, eight hundred".