191409216 has 112 divisors (see below), whose sum is σ = 525353280. Its totient is φ = 61470720.

The previous prime is 191409199. The next prime is 191409233. The reversal of 191409216 is 612904191.

It is an interprime number because it is at equal distance from previous prime (191409199) and next prime (191409233).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 690870 + ... + 691146.

Almost surely, 2^191409216 is an apocalyptic number.

191409216 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 191409216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262676640).

191409216 is an abundant number, since it is smaller than the sum of its proper divisors (333944064).

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

191409216 is a wasteful number, since it uses less digits than its factorization.

191409216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 191409216 is about 13835.0719549990. The cubic root of 191409216 is about 576.3075132656.

The spelling of 191409216 in words is "one hundred ninety-one million, four hundred nine thousand, two hundred sixteen".