195981968 has 160 divisors (see below), whose sum is σ = 495801600. Its totient is φ = 74511360.

The previous prime is 195981953. The next prime is 195981977. The reversal of 195981968 is 869189591.

195981968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2925071 + ... + 2925137.

It is an arithmetic number, because the mean of its divisors is an integer number (3098760).

Almost surely, 2^195981968 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 195981968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247900800).

195981968 is an abundant number, since it is smaller than the sum of its proper divisors (299819632).

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

195981968 is a wasteful number, since it uses less digits than its factorization.

195981968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 130 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 56.

The square root of 195981968 is about 13999.3559851873. The cubic root of 195981968 is about 580.8607592005.

The spelling of 195981968 in words is "one hundred ninety-five million, nine hundred eighty-one thousand, nine hundred sixty-eight".