191905216 has 56 divisors (see below), whose sum is σ = 393283440. Its totient is φ = 92854272.

The previous prime is 191905201. The next prime is 191905223. The reversal of 191905216 is 612509191.

It is a happy number.

191905216 is nontrivially palindromic in base 15.

It is a super-2 number, since 2×191905216² = 73655223856013312, which contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

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 7 ways as a sum of consecutive naturals, for example, 376770 + ... + 377278.

Almost surely, 2^191905216 is an apocalyptic number.

191905216 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 191905216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196641720).

191905216 is an abundant number, since it is smaller than the sum of its proper divisors (201378224).

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

191905216 is a wasteful number, since it uses less digits than its factorization.

191905216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 34.

The square root of 191905216 is about 13852.9858153396. The cubic root of 191905216 is about 576.8048804254.

The spelling of 191905216 in words is "one hundred ninety-one million, nine hundred five thousand, two hundred sixteen".