896800 has 72 divisors (see below), whose sum is σ = 2343600. Its totient is φ = 334080.

The previous prime is 896783. The next prime is 896803. The reversal of 896800 is 8698.

896800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (896803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15171 + ... + 15229.

It is an arithmetic number, because the mean of its divisors is an integer number (32550).

2⁸⁹⁶⁸⁰⁰ is an apocalyptic number.

896800 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 896800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1171800).

896800 is an abundant number, since it is smaller than the sum of its proper divisors (1446800).

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

896800 is a wasteful number, since it uses less digits than its factorization.

896800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 896800 is about 946.9952481401. The cubic root of 896800 is about 96.4343742017.

It can be divided in two parts, 89 and 6800, that added together give a square (6889 = 83²).

The spelling of 896800 in words is "eight hundred ninety-six thousand, eight hundred".