8736 has 48 divisors (see below), whose sum is σ = 28224. Its totient is φ = 2304.

The previous prime is 8731. The next prime is 8737. The reversal of 8736 is 6378.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

It is a nialpdrome in base 11 and base 16.

It is a zygodrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 666 + ... + 678.

It is an arithmetic number, because the mean of its divisors is an integer number (588).

2⁸⁷³⁶ 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 8736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14112).

8736 is an abundant number, since it is smaller than the sum of its proper divisors (19488).

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

8736 is a wasteful number, since it uses less digits than its factorization.

8736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33 (or 25 counting only the distinct ones).

The product of its digits is 1008, while the sum is 24.

The square root of 8736 is about 93.4665715644. The cubic root of 8736 is about 20.5954305383.

The spelling of 8736 in words is "eight thousand, seven hundred thirty-six".