191989200 has 240 divisors, whose sum is σ = 685400576. Its totient is φ = 45619200.

The previous prime is 191989199. The next prime is 191989223. The reversal of 191989200 is 2989191.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (39).

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 47 ways as a sum of consecutive naturals, for example, 483402 + ... + 483798.

Almost surely, 2^191989200 is an apocalyptic number.

191989200 is a gapful number since it is divisible by the number (10) 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 191989200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342700288).

191989200 is an abundant number, since it is smaller than the sum of its proper divisors (493411376).

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

191989200 is a wasteful number, since it uses less digits than its factorization.

191989200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 39.

The square root of 191989200 is about 13856.0167436388. The cubic root of 191989200 is about 576.8890110484.

It can be divided in two parts, 1919 and 89200, that added together give a palindrome (91119).

The spelling of 191989200 in words is "one hundred ninety-one million, nine hundred eighty-nine thousand, two hundred".