195768 has 24 divisors (see below), whose sum is σ = 530400. Its totient is φ = 65232.

The previous prime is 195761. The next prime is 195781. The reversal of 195768 is 867591.

195768 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 (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1288 + ... + 1431.

It is an arithmetic number, because the mean of its divisors is an integer number (22100).

2¹⁹⁵⁷⁶⁸ is an apocalyptic number.

195768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

195768 is an abundant number, since it is smaller than the sum of its proper divisors (334632).

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

195768 is a wasteful number, since it uses less digits than its factorization.

195768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2731 (or 2724 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 195768 is about 442.4567775501. The cubic root of 195768 is about 58.0649292683.

It can be divided in two parts, 1957 and 68, that added together give a square (2025 = 45²).

The spelling of 195768 in words is "one hundred ninety-five thousand, seven hundred sixty-eight".