20016 has 30 divisors (see below), whose sum is σ = 56420. Its totient is φ = 6624.

The previous prime is 20011. The next prime is 20021. The reversal of 20016 is 61002.

It is an interprime number because it is at equal distance from previous prime (20011) and next prime (20021).

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

It is a plaindrome in base 7.

It is a nialpdrome in base 12.

It is a zygodrome in base 7.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 20016.

It is not an unprimeable number, because it can be changed into a prime (20011) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 75 + ... + 213.

2²⁰⁰¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28210).

20016 is an abundant number, since it is smaller than the sum of its proper divisors (36404).

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

20016 is a wasteful number, since it uses less digits than its factorization.

20016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 144 counting only the distinct ones).

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

The square root of 20016 is about 141.4779134706. The cubic root of 20016 is about 27.1514126835.

Adding to 20016 its reverse (61002), we get a palindrome (81018).

It can be divided in two parts, 200 and 16, that added together give a cube (216 = 6³).

The spelling of 20016 in words is "twenty thousand, sixteen".