10626 has 32 divisors (see below), whose sum is σ = 27648. Its totient is φ = 2640.

The previous prime is 10613. The next prime is 10627. The reversal of 10626 is 62601.

10626 is a nontrivial binomial coefficient, being equal to C(24, 4).

It is a super-2 number, since 2×10626² = 225823752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10627) by changing a digit.

10626 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 (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 451 + ... + 473.

It is an arithmetic number, because the mean of its divisors is an integer number (864).

2¹⁰⁶²⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13824).

10626 is an abundant number, since it is smaller than the sum of its proper divisors (17022).

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

10626 is a wasteful number, since it uses less digits than its factorization.

10626 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46.

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

The square root of 10626 is about 103.0824912388. The cubic root of 10626 is about 21.9848380379.

It can be divided in two parts, 10 and 626, that added together give a palindrome (636).

The spelling of 10626 in words is "ten thousand, six hundred twenty-six".