191090880 has 224 divisors, whose sum is σ = 714329280. Its totient is φ = 47923200.

The previous prime is 191090869. The next prime is 191090881. The reversal of 191090880 is 88090191.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (191090881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146230 + ... + 147530.

It is an arithmetic number, because the mean of its divisors is an integer number (3188970).

Almost surely, 2^191090880 is an apocalyptic number.

191090880 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 191090880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357164640).

191090880 is an abundant number, since it is smaller than the sum of its proper divisors (523238400).

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

191090880 is a wasteful number, since it uses less digits than its factorization.

191090880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The square root of 191090880 is about 13823.5624930768. The cubic root of 191090880 is about 575.9878469658.

The spelling of 191090880 in words is "one hundred ninety-one million, ninety thousand, eight hundred eighty".