191080032 has 192 divisors, whose sum is σ = 609638400. Its totient is φ = 51609600.

The previous prime is 191080031. The next prime is 191080033. The reversal of 191080032 is 230080191.

It is an interprime number because it is at equal distance from previous prime (191080031) and next prime (191080033).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 191079984 and 191080011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (191080031) 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 31 ways as a sum of consecutive naturals, for example, 425344 + ... + 425792.

It is an arithmetic number, because the mean of its divisors is an integer number (3175200).

Almost surely, 2^191080032 is an apocalyptic number.

191080032 is a gapful number since it is divisible by the number (12) 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 191080032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304819200).

191080032 is an abundant number, since it is smaller than the sum of its proper divisors (418558368).

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

191080032 is a wasteful number, since it uses less digits than its factorization.

191080032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 191080032 is about 13823.1701139789. The cubic root of 191080032 is about 575.9769473799.

The spelling of 191080032 in words is "one hundred ninety-one million, eighty thousand, thirty-two".