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BaseRepresentation
bin100000011100000
3211210010
410003200
51012413
6204520
766264
oct40340
924703
1016608
1111529
129740
137737
1460a4
154dc3
hex40e0

16608 has 24 divisors (see below), whose sum is σ = 43848. Its totient is φ = 5504.

The previous prime is 16607. The next prime is 16619. The reversal of 16608 is 80661.

It is a tau number, because it is divible by the number of its divisors (24).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16603) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10 + ... + 182.

It is an arithmetic number, because the mean of its divisors is an integer number (1827).

216608 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 16608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21924).

16608 is an abundant number, since it is smaller than the sum of its proper divisors (27240).

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

16608 is a wasteful number, since it uses less digits than its factorization.

16608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 16608 is about 128.8720295487. The cubic root of 16608 is about 25.5136412979.

The spelling of 16608 in words is "sixteen thousand, six hundred eight".