190080 has 128 divisors (see below), whose sum is σ = 734400. Its totient is φ = 46080.

The previous prime is 190063. The next prime is 190093. The reversal of 190080 is 80091.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×190080² = 72260812800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

190080 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17275 + ... + 17285.

2¹⁹⁰⁰⁸⁰ is an apocalyptic number.

190080 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 190080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367200).

190080 is an abundant number, since it is smaller than the sum of its proper divisors (544320).

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

190080 is a wasteful number, since it uses less digits than its factorization.

190080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 190080 is about 435.9816509900. The cubic root of 190080 is about 57.4970382848.

The spelling of 190080 in words is "one hundred ninety thousand, eighty".