196768 has 48 divisors (see below), whose sum is σ = 465696. Its totient is φ = 80640.

The previous prime is 196751. The next prime is 196769. The reversal of 196768 is 867691.

It is not an unprimeable number, because it can be changed into a prime (196769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4555 + ... + 4597.

It is an arithmetic number, because the mean of its divisors is an integer number (9702).

2¹⁹⁶⁷⁶⁸ 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 196768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232848).

196768 is an abundant number, since it is smaller than the sum of its proper divisors (268928).

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

196768 is a wasteful number, since it uses less digits than its factorization.

196768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 69 counting only the distinct ones).

The product of its digits is 18144, while the sum is 37.

The square root of 196768 is about 443.5853920047. The cubic root of 196768 is about 58.1636283100.

It can be divided in two parts, 1 and 96768, that added together give a palindrome (96769).

The spelling of 196768 in words is "one hundred ninety-six thousand, seven hundred sixty-eight".