191998080 has 256 divisors, whose sum is σ = 699148800. Its totient is φ = 49766400.

The previous prime is 191998073. The next prime is 191998087. The reversal of 191998080 is 80899191.

It is an interprime number because it is at equal distance from previous prime (191998073) and next prime (191998087).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (191998087) 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 31 ways as a sum of consecutive naturals, for example, 708345 + ... + 708615.

It is an arithmetic number, because the mean of its divisors is an integer number (2731050).

Almost surely, 2^191998080 is an apocalyptic number.

191998080 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 191998080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349574400).

191998080 is an abundant number, since it is smaller than the sum of its proper divisors (507150720).

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

191998080 is a wasteful number, since it uses less digits than its factorization.

191998080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 45.

The square root of 191998080 is about 13856.3371783455. The cubic root of 191998080 is about 576.8979051171.

191998080 divided by its sum of digits (45) gives a palindrome (4266624).

It can be divided in two parts, 1919 and 98080, that added together give a palindrome (99999).

The spelling of 191998080 in words is "one hundred ninety-one million, nine hundred ninety-eight thousand, eighty".