195696800 has 144 divisors (see below), whose sum is σ = 531965952. Its totient is φ = 69811200.

The previous prime is 195696793. The next prime is 195696841. The reversal of 195696800 is 8696591.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 322097 + ... + 322703.

It is an arithmetic number, because the mean of its divisors is an integer number (3694208).

Almost surely, 2^195696800 is an apocalyptic number.

195696800 is a gapful number since it is divisible by the number (10) 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 195696800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265982976).

195696800 is an abundant number, since it is smaller than the sum of its proper divisors (336269152).

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

195696800 is a wasteful number, since it uses less digits than its factorization.

195696800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 44.

The square root of 195696800 is about 13989.1672375449. The cubic root of 195696800 is about 580.5788909101.

The spelling of 195696800 in words is "one hundred ninety-five million, six hundred ninety-six thousand, eight hundred".