16985664 has 84 divisors (see below), whose sum is σ = 50064924. Its totient is φ = 5501952.

The previous prime is 16985663. The next prime is 16985699. The reversal of 16985664 is 46658961.

It can be written as a sum of positive squares in 2 ways, for example, as 12110400 + 4875264 = 3480^2 + 2208^2 .

It is not an unprimeable number, because it can be changed into a prime (16985663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20914 + ... + 21710.

It is an arithmetic number, because the mean of its divisors is an integer number (596011).

Almost surely, 2^16985664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16985664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25032462).

16985664 is an abundant number, since it is smaller than the sum of its proper divisors (33079260).

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

16985664 is a wasteful number, since it uses less digits than its factorization.

16985664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 839 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 16985664 is about 4121.3667635871. The cubic root of 16985664 is about 257.0558605177.

The spelling of 16985664 in words is "sixteen million, nine hundred eighty-five thousand, six hundred sixty-four".