10644 has 12 divisors (see below), whose sum is σ = 24864. Its totient is φ = 3544.

The previous prime is 10639. The next prime is 10651. The reversal of 10644 is 44601.

10644 = T₂₅ + T₂₆ + ... + T₄₂.

10644 is nontrivially palindromic in base 11.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×10644² = 226589472, which contains 22 as substring.

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 10644.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 432 + ... + 455.

It is an arithmetic number, because the mean of its divisors is an integer number (2072).

2¹⁰⁶⁴⁴ is an apocalyptic number.

It is an amenable number.

10644 is an abundant number, since it is smaller than the sum of its proper divisors (14220).

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 (12432).

10644 is a wasteful number, since it uses less digits than its factorization.

10644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 10644 is about 103.1697630122. The cubic root of 10644 is about 21.9972448340.

It can be divided in two parts, 106 and 44, that multiplied together give a palindrome (4664).

The spelling of 10644 in words is "ten thousand, six hundred forty-four".