19680 has 48 divisors (see below), whose sum is σ = 63504. Its totient is φ = 5120.

The previous prime is 19661. The next prime is 19681. The reversal of 19680 is 8691.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×19680³ = 22866333696000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 19680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19681) by changing a digit.

19680 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 460 + ... + 500.

It is an arithmetic number, because the mean of its divisors is an integer number (1323).

2¹⁹⁶⁸⁰ is an apocalyptic number.

19680 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 19680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31752).

19680 is an abundant number, since it is smaller than the sum of its proper divisors (43824).

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

19680 is a wasteful number, since it uses less digits than its factorization.

19680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 19680 is about 140.2854233340. The cubic root of 19680 is about 26.9986281882.

19680 divided by its sum of digits (24) gives a triangular number (820 = T₄₀).

It can be divided in two parts, 196 and 80, that added together give a triangular number (276 = T₂₃).

The spelling of 19680 in words is "nineteen thousand, six hundred eighty".