16980 has 24 divisors (see below), whose sum is σ = 47712. Its totient is φ = 4512.

The previous prime is 16979. The next prime is 16981. The reversal of 16980 is 8961.

It is an interprime number because it is at equal distance from previous prime (16979) and next prime (16981).

It is a self number, because there is not a number n which added to its sum of digits gives 16980.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16981) 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 7 ways as a sum of consecutive naturals, for example, 82 + ... + 201.

It is an arithmetic number, because the mean of its divisors is an integer number (1988).

2¹⁶⁹⁸⁰ is an apocalyptic number.

16980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16980 is an abundant number, since it is smaller than the sum of its proper divisors (30732).

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 (23856).

16980 is a wasteful number, since it uses less digits than its factorization.

16980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 293 counting only the distinct ones).

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

The square root of 16980 is about 130.3073290341. The cubic root of 16980 is about 25.7027284925.

The spelling of 16980 in words is "sixteen thousand, nine hundred eighty".