16913664 has 72 divisors (see below), whose sum is σ = 50037120. Its totient is φ = 5635584.

The previous prime is 16913627. The next prime is 16913669. The reversal of 16913664 is 46631961.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16913669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5689 + ... + 8135.

It is an arithmetic number, because the mean of its divisors is an integer number (694960).

Almost surely, 2^16913664 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 16913664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25018560).

16913664 is an abundant number, since it is smaller than the sum of its proper divisors (33123456).

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

16913664 is an equidigital number, since it uses as much as digits as its factorization.

16913664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2472 (or 2452 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 16913664 is about 4112.6225209713. The cubic root of 16913664 is about 256.6921374247.

The spelling of 16913664 in words is "sixteen million, nine hundred thirteen thousand, six hundred sixty-four".