17880 has 32 divisors (see below), whose sum is σ = 54000. Its totient is φ = 4736.

The previous prime is 17863. The next prime is 17881. The reversal of 17880 is 8871.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 17880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46 + ... + 194.

2¹⁷⁸⁸⁰ is an apocalyptic number.

17880 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 17880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27000).

17880 is an abundant number, since it is smaller than the sum of its proper divisors (36120).

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

17880 is a wasteful number, since it uses less digits than its factorization.

17880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 17880 is about 133.7161172036. The cubic root of 17880 is about 26.1490453436.

Subtracting from 17880 its reverse (8871), we obtain a palindrome (9009).

The spelling of 17880 in words is "seventeen thousand, eight hundred eighty".