16890 has 16 divisors (see below), whose sum is σ = 40608. Its totient is φ = 4496.

The previous prime is 16889. The next prime is 16901. The reversal of 16890 is 9861.

16890 is nontrivially palindromic in base 14.

16890 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 16890.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 252 + ... + 311.

It is an arithmetic number, because the mean of its divisors is an integer number (2538).

2¹⁶⁸⁹⁰ is an apocalyptic number.

16890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16890 is an abundant number, since it is smaller than the sum of its proper divisors (23718).

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 (20304).

16890 is a wasteful number, since it uses less digits than its factorization.

16890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573.

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 16890 is about 129.9615327703. The cubic root of 16890 is about 25.6572368425.

The spelling of 16890 in words is "sixteen thousand, eight hundred ninety".