10836 has 36 divisors (see below), whose sum is σ = 32032. Its totient is φ = 3024.

The previous prime is 10831. The next prime is 10837. The reversal of 10836 is 63801.

10836 = T₄₈ + T₄₉ + ... + T₅₅.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a nialpdrome in base 4 and base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10831) by changing a digit.

10836 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 231 + ... + 273.

2¹⁰⁸³⁶ is an apocalyptic number.

10836 is the 56-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16016).

10836 is an abundant number, since it is smaller than the sum of its proper divisors (21196).

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

10836 is a wasteful number, since it uses less digits than its factorization.

10836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 55 counting only the distinct ones).

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

The square root of 10836 is about 104.0961094374. The cubic root of 10836 is about 22.1287219631.

It can be divided in two parts, 1083 and 6, that added together give a square (1089 = 33²).

The spelling of 10836 in words is "ten thousand, eight hundred thirty-six".