195513984 has 192 divisors, whose sum is σ = 603383040. Its totient is φ = 60622848.

The previous prime is 195513977. The next prime is 195514001. The reversal of 195513984 is 489315591.

195513984 is a `hidden beast` number, since 1 + 9 + 551 + 3 + 98 + 4 = 666.

195513984 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a zygodrome in base 12.

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 23 ways as a sum of consecutive naturals, for example, 1245234 + ... + 1245390.

It is an arithmetic number, because the mean of its divisors is an integer number (3142620).

Almost surely, 2^195513984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 195513984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301691520).

195513984 is an abundant number, since it is smaller than the sum of its proper divisors (407869056).

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

195513984 is a wasteful number, since it uses less digits than its factorization.

195513984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 232 counting only the distinct ones).

The product of its digits is 194400, while the sum is 45.

The square root of 195513984 is about 13982.6315119866. The cubic root of 195513984 is about 580.3980462247.

The spelling of 195513984 in words is "one hundred ninety-five million, five hundred thirteen thousand, nine hundred eighty-four".