8436 has 24 divisors (see below), whose sum is σ = 21280. Its totient is φ = 2592.

The previous prime is 8431. The next prime is 8443. The reversal of 8436 is 6348.

8436 = T₁ + T₂ + ... + T₃₆.

8436 is a nontrivial binomial coefficient, being equal to C(38, 3).

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8431) by changing a digit.

It is the 36-th tetrahedral number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 210 + ... + 246.

2⁸⁴³⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10640).

8436 is an abundant number, since it is smaller than the sum of its proper divisors (12844).

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

8436 is a wasteful number, since it uses less digits than its factorization.

8436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 61 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 8436 is about 91.8477000256. The cubic root of 8436 is about 20.3569256451.

It can be divided in two parts, 84 and 36, that added together give a triangular number (120 = T₁₅).

The spelling of 8436 in words is "eight thousand, four hundred thirty-six".