195943968 has 192 divisors, whose sum is σ = 636854400. Its totient is φ = 58106880.

The previous prime is 195943967. The next prime is 195943973. The reversal of 195943968 is 869349591.

195943968 is a `hidden beast` number, since 19 + 594 + 39 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (195943967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 503518 + ... + 503906.

It is an arithmetic number, because the mean of its divisors is an integer number (3316950).

Almost surely, 2^195943968 is an apocalyptic number.

195943968 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 195943968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318427200).

195943968 is an abundant number, since it is smaller than the sum of its proper divisors (440910432).

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

195943968 is a wasteful number, since it uses less digits than its factorization.

195943968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 458 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 54.

The square root of 195943968 is about 13997.9987141020. The cubic root of 195943968 is about 580.8232146994.

The spelling of 195943968 in words is "one hundred ninety-five million, nine hundred forty-three thousand, nine hundred sixty-eight".