17998080 has 144 divisors (see below), whose sum is σ = 59357760. Its totient is φ = 4644864.

The previous prime is 17998069. The next prime is 17998081. The reversal of 17998080 is 8089971.

It is not an unprimeable number, because it can be changed into a prime (17998081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165066 + ... + 165174.

Almost surely, 2^17998080 is an apocalyptic number.

17998080 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 17998080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29678880).

17998080 is an abundant number, since it is smaller than the sum of its proper divisors (41359680).

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

17998080 is a wasteful number, since it uses less digits than its factorization.

17998080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 42.

The square root of 17998080 is about 4242.4144069150. The cubic root of 17998080 is about 262.0648208979.

The spelling of 17998080 in words is "seventeen million, nine hundred ninety-eight thousand, eighty".