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BaseRepresentation
bin10100110101100
3112122010
42212230
5320133
6121220
743050
oct24654
915563
1010668
118019
126210
134b18
143c60
153263
hex29ac

10668 has 24 divisors (see below), whose sum is σ = 28672. Its totient is φ = 3024.

The previous prime is 10667. The next prime is 10687. The reversal of 10668 is 86601.

10668 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106682 = 227612448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a plaindrome in base 16.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (10663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21 + ... + 147.

210668 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 10668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14336).

10668 is an abundant number, since it is smaller than the sum of its proper divisors (18004).

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

10668 is a wasteful number, since it uses less digits than its factorization.

10668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 139 counting only the distinct ones).

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

The square root of 10668 is about 103.2860106694. The cubic root of 10668 is about 22.0137654898.

The spelling of 10668 in words is "ten thousand, six hundred sixty-eight".