8896800 has 144 divisors (see below), whose sum is σ = 31685472. Its totient is φ = 2150400.

The previous prime is 8896793. The next prime is 8896801. The reversal of 8896800 is 86988.

It is not an unprimeable number, because it can be changed into a prime (8896801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26232 + ... + 26568.

It is an arithmetic number, because the mean of its divisors is an integer number (220038).

Almost surely, 2^8896800 is an apocalyptic number.

8896800 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 8896800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15842736).

8896800 is an abundant number, since it is smaller than the sum of its proper divisors (22788672).

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

8896800 is a wasteful number, since it uses less digits than its factorization.

8896800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 8896800 is about 2982.7504085994. The cubic root of 8896800 is about 207.2102696619.

The spelling of 8896800 in words is "eight million, eight hundred ninety-six thousand, eight hundred".