191953216 has 112 divisors (see below), whose sum is σ = 489533184. Its totient is φ = 72585216.

The previous prime is 191953207. The next prime is 191953231. The reversal of 191953216 is 612359191.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133236 + ... + 134668.

It is an arithmetic number, because the mean of its divisors is an integer number (4370832).

Almost surely, 2^191953216 is an apocalyptic number.

191953216 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 191953216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244766592).

191953216 is an abundant number, since it is smaller than the sum of its proper divisors (297579968).

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

191953216 is a wasteful number, since it uses less digits than its factorization.

191953216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488 (or 1478 counting only the distinct ones).

The product of its digits is 14580, while the sum is 37.

The square root of 191953216 is about 13854.7181855136. The cubic root of 191953216 is about 576.8529672306.

The spelling of 191953216 in words is "one hundred ninety-one million, nine hundred fifty-three thousand, two hundred sixteen".