191431296 has 256 divisors, whose sum is σ = 664876800. Its totient is φ = 53084160.

The previous prime is 191431249. The next prime is 191431301. The reversal of 191431296 is 692134191.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 191431296.

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, 991776 + ... + 991968.

It is an arithmetic number, because the mean of its divisors is an integer number (2597175).

Almost surely, 2^191431296 is an apocalyptic number.

191431296 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 191431296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332438400).

191431296 is an abundant number, since it is smaller than the sum of its proper divisors (473445504).

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

191431296 is a wasteful number, since it uses less digits than its factorization.

191431296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 246 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 191431296 is about 13835.8699039851. The cubic root of 191431296 is about 576.3296723878.

The spelling of 191431296 in words is "one hundred ninety-one million, four hundred thirty-one thousand, two hundred ninety-six".