10662 has 8 divisors (see below), whose sum is σ = 21336. Its totient is φ = 3552.

The previous prime is 10657. The next prime is 10663. The reversal of 10662 is 26601.

10662 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

10662 is an esthetic number in base 6, because in such base its adjacent digits differ by 1.

It is a sphenic number, since it is the product of 3 distinct primes.

10662 is an admirable number.

It is a super-2 number, since 2×10662² = 227356488, which contains 22 as substring.

It is a plaindrome in base 9.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 10662.

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

10662 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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 883 + ... + 894.

It is an arithmetic number, because the mean of its divisors is an integer number (2667).

2¹⁰⁶⁶² is an apocalyptic number.

10662 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10668).

10662 is a wasteful number, since it uses less digits than its factorization.

10662 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1782.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 10662 is about 103.2569610244. The cubic root of 10662 is about 22.0096376506.

The spelling of 10662 in words is "ten thousand, six hundred sixty-two".