195868960 has 96 divisors (see below), whose sum is σ = 532344960. Its totient is φ = 66711552.

The previous prime is 195868949. The next prime is 195869021. The reversal of 195868960 is 69868591.

It is a super-3 number, since 3×195868960³ (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 195868898 and 195868907.

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, 199992 + ... + 200968.

It is an arithmetic number, because the mean of its divisors is an integer number (5545260).

Almost surely, 2^195868960 is an apocalyptic number.

195868960 is a gapful number since it is divisible by the number (10) 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 195868960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266172480).

195868960 is an abundant number, since it is smaller than the sum of its proper divisors (336476000).

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

195868960 is a wasteful number, since it uses less digits than its factorization.

195868960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 52.

The square root of 195868960 is about 13995.3192175098. The cubic root of 195868960 is about 580.7490915569.

The spelling of 195868960 in words is "one hundred ninety-five million, eight hundred sixty-eight thousand, nine hundred sixty".