191945800 has 96 divisors (see below), whose sum is σ = 467470080. Its totient is φ = 73209600.

The previous prime is 191945797. The next prime is 191945801. The reversal of 191945800 is 8549191.

It is a self number, because there is not a number n which added to its sum of digits gives 191945800.

It is not an unprimeable number, because it can be changed into a prime (191945801) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 514414 + ... + 514786.

It is an arithmetic number, because the mean of its divisors is an integer number (4869480).

Almost surely, 2^191945800 is an apocalyptic number.

191945800 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 191945800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233735040).

191945800 is an abundant number, since it is smaller than the sum of its proper divisors (275524280).

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

191945800 is a wasteful number, since it uses less digits than its factorization.

191945800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 37.

The square root of 191945800 is about 13854.4505484700. The cubic root of 191945800 is about 576.8455383428.

The spelling of 191945800 in words is "one hundred ninety-one million, nine hundred forty-five thousand, eight hundred".