191296 has 42 divisors (see below), whose sum is σ = 448818. Its totient is φ = 80640.

The previous prime is 191281. The next prime is 191297. The reversal of 191296 is 692191.

191296 is nontrivially palindromic in base 3.

It can be written as a sum of positive squares in only one way, i.e., 112896 + 78400 = 336^2 + 280^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (191297) by changing a digit.

191296 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 5 ways as a sum of consecutive naturals, for example, 3106 + ... + 3166.

2¹⁹¹²⁹⁶ is an apocalyptic number.

191296 is a gapful number since it is divisible by the number (16) 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 191296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224409).

191296 is an abundant number, since it is smaller than the sum of its proper divisors (257522).

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

191296 is an equidigital number, since it uses as much as digits as its factorization.

191296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 70 counting only the distinct ones).

The product of its digits is 972, while the sum is 28.

The square root of 191296 is about 437.3739818508. The cubic root of 191296 is about 57.6193864785.

The spelling of 191296 in words is "one hundred ninety-one thousand, two hundred ninety-six".