19080 has 48 divisors (see below), whose sum is σ = 63180. Its totient is φ = 4992.

The previous prime is 19079. The next prime is 19081. The reversal of 19080 is 8091.

It is an interprime number because it is at equal distance from previous prime (19079) and next prime (19081).

It can be written as a sum of positive squares in 2 ways, for example, as 19044 + 36 = 138^2 + 6^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (19081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 334 + ... + 386.

2¹⁹⁰⁸⁰ is an apocalyptic number.

19080 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 19080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31590).

19080 is an abundant number, since it is smaller than the sum of its proper divisors (44100).

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

19080 is a wasteful number, since it uses less digits than its factorization.

19080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 63 counting only the distinct ones).

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

The square root of 19080 is about 138.1303731987. The cubic root of 19080 is about 26.7214152979.

The spelling of 19080 in words is "nineteen thousand, eighty".