17998560 has 144 divisors (see below), whose sum is σ = 63685440. Its totient is φ = 4623360.

The previous prime is 17998537. The next prime is 17998579. The reversal of 17998560 is 6589971.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41545 + ... + 41975.

It is an arithmetic number, because the mean of its divisors is an integer number (442260).

Almost surely, 2^17998560 is an apocalyptic number.

17998560 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 17998560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31842720).

17998560 is an abundant number, since it is smaller than the sum of its proper divisors (45686880).

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

17998560 is a wasteful number, since it uses less digits than its factorization.

17998560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 17998560 is about 4242.4709780976. The cubic root of 17998560 is about 262.0671505908.

The spelling of 17998560 in words is "seventeen million, nine hundred ninety-eight thousand, five hundred sixty".