19280 has 20 divisors (see below), whose sum is σ = 45012. Its totient is φ = 7680.

The previous prime is 19273. The next prime is 19289. The reversal of 19280 is 8291.

19280 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in 2 ways, for example, as 10816 + 8464 = 104^2 + 92^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Smith number, since the sum of its digits (20) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19289) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41 + ... + 200.

2¹⁹²⁸⁰ is an apocalyptic number.

19280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19280 is an abundant number, since it is smaller than the sum of its proper divisors (25732).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22506).

19280 is a wasteful number, since it uses less digits than its factorization.

19280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 19280 is about 138.8524396617. The cubic root of 19280 is about 26.8144571882.

It can be divided in two parts, 192 and 80, that added together give a palindrome (272).

The spelling of 19280 in words is "nineteen thousand, two hundred eighty".