10638 has 16 divisors (see below), whose sum is σ = 23760. Its totient is φ = 3528.

The previous prime is 10631. The next prime is 10639. The reversal of 10638 is 83601.

10638 is nontrivially palindromic in base 5.

10638 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 2×10638² = 226334088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

10638 is an undulating number in base 14.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10638.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10631) by changing a digit.

10638 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 7 ways as a sum of consecutive naturals, for example, 45 + ... + 152.

It is an arithmetic number, because the mean of its divisors is an integer number (1485).

2¹⁰⁶³⁸ is an apocalyptic number.

10638 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

10638 is an abundant number, since it is smaller than the sum of its proper divisors (13122).

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 (11880).

10638 is a wasteful number, since it uses less digits than its factorization.

10638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 10638 is about 103.1406806260. The cubic root of 10638 is about 21.9931107906.

It can be divided in two parts, 106 and 38, that added together give a square (144 = 12²).

The spelling of 10638 in words is "ten thousand, six hundred thirty-eight".