195888000 has 512 divisors, whose sum is σ = 824878080. Its totient is φ = 39936000.

The previous prime is 195887971. The next prime is 195888001. The reversal of 195888000 is 888591.

It is a self number, because there is not a number n which added to its sum of digits gives 195888000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195888001) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 3695974 + ... + 3696026.

It is an arithmetic number, because the mean of its divisors is an integer number (1611090).

Almost surely, 2^195888000 is an apocalyptic number.

195888000 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 195888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412439040).

195888000 is an abundant number, since it is smaller than the sum of its proper divisors (628990080).

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

195888000 is a wasteful number, since it uses less digits than its factorization.

195888000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 39.

The square root of 195888000 is about 13995.9994284081. Note that the first 3 decimals coincide. The cubic root of 195888000 is about 580.7679087369.

The spelling of 195888000 in words is "one hundred ninety-five million, eight hundred eighty-eight thousand".