193068 has 36 divisors (see below), whose sum is σ = 506688. Its totient is φ = 61920.

The previous prime is 193057. The next prime is 193073. The reversal of 193068 is 860391.

193068 is digitally balanced in base 2, 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 (36).

It is an unprimeable number.

193068 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1030 + ... + 1202.

2¹⁹³⁰⁶⁸ is an apocalyptic number.

193068 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 193068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253344).

193068 is an abundant number, since it is smaller than the sum of its proper divisors (313620).

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

193068 is a wasteful number, since it uses less digits than its factorization.

193068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 193068 is about 439.3950386611. The cubic root of 193068 is about 57.7967519317.

The spelling of 193068 in words is "one hundred ninety-three thousand, sixty-eight".