196195968 has 96 divisors (see below), whose sum is σ = 572553540. Its totient is φ = 64475136.

The previous prime is 196195943. The next prime is 196195969. The reversal of 196195968 is 869591691.

196195968 is a `hidden beast` number, since 19 + 619 + 5 + 9 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 195776064 + 419904 = 13992^2 + 648^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (196195969) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 82930 + ... + 85262.

Almost surely, 2^196195968 is an apocalyptic number.

196195968 is a gapful number since it is divisible by the number (18) 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 196195968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286276770).

196195968 is an abundant number, since it is smaller than the sum of its proper divisors (376357572).

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

196195968 is a wasteful number, since it uses less digits than its factorization.

196195968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2426 (or 2411 counting only the distinct ones).

The product of its digits is 1049760, while the sum is 54.

The square root of 196195968 is about 14006.9971085883. The cubic root of 196195968 is about 581.0721034499.

The spelling of 196195968 in words is "one hundred ninety-six million, one hundred ninety-five thousand, nine hundred sixty-eight".