16984000 has 112 divisors (see below), whose sum is σ = 46122336. Its totient is φ = 6144000.

The previous prime is 16983997. The next prime is 16984049. The reversal of 16984000 is 48961.

It is a self number, because there is not a number n which added to its sum of digits gives 16984000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87904 + ... + 88096.

Almost surely, 2^16984000 is an apocalyptic number.

16984000 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 16984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23061168).

16984000 is an abundant number, since it is smaller than the sum of its proper divisors (29138336).

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

16984000 is a wasteful number, since it uses less digits than its factorization.

16984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 16984000 is about 4121.1648838648. The cubic root of 16984000 is about 257.0474660873.

The spelling of 16984000 in words is "sixteen million, nine hundred eighty-four thousand".