17960 has 16 divisors (see below), whose sum is σ = 40500. Its totient is φ = 7168.

The previous prime is 17959. The next prime is 17971. The reversal of 17960 is 6971.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 17956 + 4 = 134^2 + 2^2 .

It is a plaindrome in base 14.

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 3 ways as a sum of consecutive naturals, for example, 185 + ... + 264.

2¹⁷⁹⁶⁰ is an apocalyptic number.

17960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

17960 is an abundant number, since it is smaller than the sum of its proper divisors (22540).

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 (20250).

17960 is a wasteful number, since it uses less digits than its factorization.

17960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 23.

The square root of 17960 is about 134.0149245420. The cubic root of 17960 is about 26.1879866452.

The spelling of 17960 in words is "seventeen thousand, nine hundred sixty".