16038 has 28 divisors (see below), whose sum is σ = 39348. Its totient is φ = 4860.

The previous prime is 16033. The next prime is 16057. The reversal of 16038 is 83061.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

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 16038.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16033) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1453 + ... + 1463.

2¹⁶⁰³⁸ is an apocalyptic number.

16038 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19674).

16038 is an abundant number, since it is smaller than the sum of its proper divisors (23310).

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

16038 is an equidigital number, since it uses as much as digits as its factorization.

16038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31 (or 16 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 16038 is about 126.6412255152. The cubic root of 16038 is about 25.2183539759.

Adding to 16038 its reverse (83061), we get a palindrome (99099).

The spelling of 16038 in words is "sixteen thousand, thirty-eight".