190080320 has 112 divisors (see below), whose sum is σ = 469148160. Its totient is φ = 73322496.

The previous prime is 190080287. The next prime is 190080347. The reversal of 190080320 is 23080091.

It is a super-2 number, since 2×190080320² = 72261056102604800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1845389 + ... + 1845491.

Almost surely, 2^190080320 is an apocalyptic number.

190080320 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 190080320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234574080).

190080320 is an abundant number, since it is smaller than the sum of its proper divisors (279067840).

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

190080320 is a wasteful number, since it uses less digits than its factorization.

190080320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 190080320 is about 13786.9619568634. The cubic root of 190080320 is about 574.9707055019.

The spelling of 190080320 in words is "one hundred ninety million, eighty thousand, three hundred twenty".