192768 has 36 divisors (see below), whose sum is σ = 515088. Its totient is φ = 64000.

The previous prime is 192767. The next prime is 192781. The reversal of 192768 is 867291.

It is not an unprimeable number, because it can be changed into a prime (192767) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 643 + ... + 893.

It is an arithmetic number, because the mean of its divisors is an integer number (14308).

2¹⁹²⁷⁶⁸ 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 192768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257544).

192768 is an abundant number, since it is smaller than the sum of its proper divisors (322320).

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

192768 is an equidigital number, since it uses as much as digits as its factorization.

192768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 256 counting only the distinct ones).

The product of its digits is 6048, while the sum is 33.

The square root of 192768 is about 439.0535274884. The cubic root of 192768 is about 57.7668004567.

It can be divided in two parts, 192 and 768, that multiplied together give a square (147456 = 384²).

The spelling of 192768 in words is "one hundred ninety-two thousand, seven hundred sixty-eight".