16020 has 36 divisors (see below), whose sum is σ = 49140. Its totient is φ = 4224.

The previous prime is 16007. The next prime is 16033. The reversal of 16020 is 2061.

It is an interprime number because it is at equal distance from previous prime (16007) and next prime (16033).

It can be written as a sum of positive squares in 2 ways, for example, as 4356 + 11664 = 66^2 + 108^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 4 and base 12.

It is a junction number, because it is equal to n+sod(n) for n = 15993 and 16011.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 16020.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 136 + ... + 224.

It is an arithmetic number, because the mean of its divisors is an integer number (1365).

2¹⁶⁰²⁰ is an apocalyptic number.

16020 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 16020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24570).

16020 is an abundant number, since it is smaller than the sum of its proper divisors (33120).

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

16020 is a wasteful number, since it uses less digits than its factorization.

16020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 16020 is about 126.5701386584. The cubic root of 16020 is about 25.2089159683.

Adding to 16020 its reverse (2061), we get a palindrome (18081).

The spelling of 16020 in words is "sixteen thousand, twenty".