192168 has 48 divisors (see below), whose sum is σ = 554580. Its totient is φ = 59904.

The previous prime is 192161. The next prime is 192173. The reversal of 192168 is 861291.

It can be written as a sum of positive squares in 2 ways, for example, as 191844 + 324 = 438^2 + 18^2 .

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (192161) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1146 + ... + 1302.

2¹⁹²¹⁶⁸ is an apocalyptic number.

192168 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 192168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277290).

192168 is an abundant number, since it is smaller than the sum of its proper divisors (362412).

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

192168 is a wasteful number, since it uses less digits than its factorization.

192168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 179 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 192168 is about 438.3697069826. The cubic root of 192168 is about 57.7068041520.

It can be divided in two parts, 19 and 2168, that added together give a 7-th power (2187 = 3⁷).

The spelling of 192168 in words is "one hundred ninety-two thousand, one hundred sixty-eight".