896168800 has 36 divisors (see below), whose sum is σ = 2187774036. Its totient is φ = 358467200.

The previous prime is 896168783. The next prime is 896168809. The reversal of 896168800 is 8861698.

896168800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (896168809) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 559306 + ... + 560905.

It is an arithmetic number, because the mean of its divisors is an integer number (60771501).

Almost surely, 2^896168800 is an apocalyptic number.

896168800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

896168800 is an abundant number, since it is smaller than the sum of its proper divisors (1291605236).

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

896168800 is a wasteful number, since it uses less digits than its factorization.

896168800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120231 (or 1120218 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 46.

The square root of 896168800 is about 29936.0785675078. The cubic root of 896168800 is about 964.1174423470.

The spelling of 896168800 in words is "eight hundred ninety-six million, one hundred sixty-eight thousand, eight hundred".