19380 has 48 divisors (see below), whose sum is σ = 60480. Its totient is φ = 4608.

The previous prime is 19379. The next prime is 19381. The reversal of 19380 is 8391.

19380 = T₁₁ + T₁₂ + ... + T₄₈.

19380 is nontrivially palindromic in base 16.

19380 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (19379) and next prime (19381).

19380 is an undulating number in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19381) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1011 + ... + 1029.

It is an arithmetic number, because the mean of its divisors is an integer number (1260).

2¹⁹³⁸⁰ is an apocalyptic number.

19380 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 19380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30240).

19380 is an abundant number, since it is smaller than the sum of its proper divisors (41100).

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

19380 is a wasteful number, since it uses less digits than its factorization.

19380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 19380 is about 139.2120684424. The cubic root of 19380 is about 26.8607369783.

The spelling of 19380 in words is "nineteen thousand, three hundred eighty".