191268 has 96 divisors (see below), whose sum is σ = 645120. Its totient is φ = 47520.

The previous prime is 191251. The next prime is 191281. The reversal of 191268 is 862191.

191268 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (864) is a multiple of the sum of its prime factors (54).

It is a zygodrome in base 5.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8305 + ... + 8327.

It is an arithmetic number, because the mean of its divisors is an integer number (6720).

2¹⁹¹²⁶⁸ is an apocalyptic number.

191268 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 191268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322560).

191268 is an abundant number, since it is smaller than the sum of its proper divisors (453852).

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

191268 is a wasteful number, since it uses less digits than its factorization.

191268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 46 counting only the distinct ones).

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

The square root of 191268 is about 437.3419714594. The cubic root of 191268 is about 57.6165750910.

The spelling of 191268 in words is "one hundred ninety-one thousand, two hundred sixty-eight".