16940 has 36 divisors (see below), whose sum is σ = 44688. Its totient is φ = 5280.

The previous prime is 16937. The next prime is 16943. The reversal of 16940 is 4961.

It is an interprime number because it is at equal distance from previous prime (16937) and next prime (16943).

It is a Smith number, since the sum of its digits (20) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (16943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1535 + ... + 1545.

2¹⁶⁹⁴⁰ is an apocalyptic number.

16940 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 16940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22344).

16940 is an abundant number, since it is smaller than the sum of its proper divisors (27748).

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

16940 is a wasteful number, since it uses less digits than its factorization.

16940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 16940 is about 130.1537552282. The cubic root of 16940 is about 25.6825298763.

The spelling of 16940 in words is "sixteen thousand, nine hundred forty".