10608 has 40 divisors (see below), whose sum is σ = 31248. Its totient is φ = 3072.

The previous prime is 10607. The next prime is 10613. The reversal of 10608 is 80601.

10608 is nontrivially palindromic in base 5 and base 15.

It is a Cunningham number, because it is equal to 103²-1.

It is a super-2 number, since 2×10608² = 225059328, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10601) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 616 + ... + 632.

2¹⁰⁶⁰⁸ 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 10608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15624).

10608 is an abundant number, since it is smaller than the sum of its proper divisors (20640).

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

10608 is a wasteful number, since it uses less digits than its factorization.

10608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 10608 is about 102.9951455167. The cubic root of 10608 is about 21.9724172228.

The spelling of 10608 in words is "ten thousand, six hundred eight".