17940 has 48 divisors (see below), whose sum is σ = 56448. Its totient is φ = 4224.

The previous prime is 17939. The next prime is 17957. The reversal of 17940 is 4971.

17940 is nontrivially palindromic in base 14.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 13.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 769 + ... + 791.

It is an arithmetic number, because the mean of its divisors is an integer number (1176).

2¹⁷⁹⁴⁰ is an apocalyptic number.

17940 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 17940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28224).

17940 is an abundant number, since it is smaller than the sum of its proper divisors (38508).

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

17940 is a wasteful number, since it uses less digits than its factorization.

17940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 17940 is about 133.9402852020. The cubic root of 17940 is about 26.1782621784.

The spelling of 17940 in words is "seventeen thousand, nine hundred forty".