19420 has 12 divisors (see below), whose sum is σ = 40824. Its totient is φ = 7760.

The previous prime is 19417. The next prime is 19421. The reversal of 19420 is 2491.

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 19394 and 19403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19421) 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, 466 + ... + 505.

It is an arithmetic number, because the mean of its divisors is an integer number (3402).

2¹⁹⁴²⁰ is an apocalyptic number.

19420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19420 is an abundant number, since it is smaller than the sum of its proper divisors (21404).

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 (20412).

19420 is a wasteful number, since it uses less digits than its factorization.

19420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 19420 is about 139.3556600932. The cubic root of 19420 is about 26.8792043179.

The spelling of 19420 in words is "nineteen thousand, four hundred twenty".