17985000 has 160 divisors (see below), whose sum is σ = 61855200. Its totient is φ = 4320000.

The previous prime is 17984999. The next prime is 17985047. The reversal of 17985000 is 58971.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 164946 + ... + 165054.

It is an arithmetic number, because the mean of its divisors is an integer number (386595).

Almost surely, 2^17985000 is an apocalyptic number.

17985000 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 17985000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30927600).

17985000 is an abundant number, since it is smaller than the sum of its proper divisors (43870200).

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

17985000 is a wasteful number, since it uses less digits than its factorization.

17985000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 30.

The square root of 17985000 is about 4240.8725517280. The cubic root of 17985000 is about 262.0013208177.

The spelling of 17985000 in words is "seventeen million, nine hundred eighty-five thousand".