195821856 has 72 divisors (see below), whose sum is σ = 567419580. Its totient is φ = 64037376.

The previous prime is 195821851. The next prime is 195821867. The reversal of 195821856 is 658128591.

It is a happy number.

195821856 is a `hidden beast` number, since 1 + 9 + 582 + 18 + 56 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 182250000 + 13571856 = 13500^2 + 3684^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (195821851) 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, 8850 + ... + 21678.

Almost surely, 2^195821856 is an apocalyptic number.

195821856 is a gapful number since it is divisible by the number (16) 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 195821856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283709790).

195821856 is an abundant number, since it is smaller than the sum of its proper divisors (371597724).

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

195821856 is a wasteful number, since it uses less digits than its factorization.

195821856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12898 (or 12887 counting only the distinct ones).

The product of its digits is 172800, while the sum is 45.

The square root of 195821856 is about 13993.6362679612. The cubic root of 195821856 is about 580.7025335616.

The spelling of 195821856 in words is "one hundred ninety-five million, eight hundred twenty-one thousand, eight hundred fifty-six".