195745984 has 112 divisors (see below), whose sum is σ = 467156800. Its totient is φ = 81285120.

The previous prime is 195745937. The next prime is 195745993. The reversal of 195745984 is 489547591.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 812104 + ... + 812344.

Almost surely, 2^195745984 is an apocalyptic number.

195745984 is a gapful number since it is divisible by the number (14) 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 195745984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233578400).

195745984 is an abundant number, since it is smaller than the sum of its proper divisors (271410816).

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

195745984 is an equidigital number, since it uses as much as digits as its factorization.

195745984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 287 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 52.

The square root of 195745984 is about 13990.9250587658. The cubic root of 195745984 is about 580.6275253287.

The spelling of 195745984 in words is "one hundred ninety-five million, seven hundred forty-five thousand, nine hundred eighty-four".