16420 has 12 divisors (see below), whose sum is σ = 34524. Its totient is φ = 6560.

The previous prime is 16417. The next prime is 16421. The reversal of 16420 is 2461.

It can be written as a sum of positive squares in 2 ways, for example, as 5184 + 11236 = 72^2 + 106^2 .

It is a plaindrome in base 11.

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 16420.

It is not an unprimeable number, because it can be changed into a prime (16421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 391 + ... + 430.

It is an arithmetic number, because the mean of its divisors is an integer number (2877).

2¹⁶⁴²⁰ is an apocalyptic number.

16420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16420 is an abundant number, since it is smaller than the sum of its proper divisors (18104).

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 (17262).

16420 is a wasteful number, since it uses less digits than its factorization.

16420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 16420 is about 128.1405478371. The cubic root of 16420 is about 25.4170055794.

Adding to 16420 its reverse (2461), we get a palindrome (18881).

The spelling of 16420 in words is "sixteen thousand, four hundred twenty".