191893968 has 320 divisors, whose sum is σ = 685670400. Its totient is φ = 50181120.

The previous prime is 191893967. The next prime is 191893969. The reversal of 191893968 is 869398191.

It is an interprime number because it is at equal distance from previous prime (191893967) and next prime (191893969).

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (191893967) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2156068 + ... + 2156156.

It is an arithmetic number, because the mean of its divisors is an integer number (2142720).

Almost surely, 2^191893968 is an apocalyptic number.

191893968 is a gapful number since it is divisible by the number (18) 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 191893968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342835200).

191893968 is an abundant number, since it is smaller than the sum of its proper divisors (493776432).

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

191893968 is a wasteful number, since it uses less digits than its factorization.

191893968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 155 counting only the distinct ones).

The product of its digits is 839808, while the sum is 54.

The square root of 191893968 is about 13852.5798319302. The cubic root of 191893968 is about 576.7936109244.

The spelling of 191893968 in words is "one hundred ninety-one million, eight hundred ninety-three thousand, nine hundred sixty-eight".