20608 has 32 divisors (see below), whose sum is σ = 48960. Its totient is φ = 8448.

The previous prime is 20599. The next prime is 20611. The reversal of 20608 is 80602.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 20591 and 20600.

It is an unprimeable number.

20608 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 885 + ... + 907.

It is an arithmetic number, because the mean of its divisors is an integer number (1530).

2²⁰⁶⁰⁸ is an apocalyptic number.

20608 is a gapful number since it is divisible by the number (28) 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 20608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24480).

20608 is an abundant number, since it is smaller than the sum of its proper divisors (28352).

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

20608 is an equidigital number, since it uses as much as digits as its factorization.

20608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44 (or 32 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 20608 is about 143.5548675594. The cubic root of 20608 is about 27.4164960073.

The spelling of 20608 in words is "twenty thousand, six hundred eight".