36816 has 40 divisors (see below), whose sum is σ = 104160. Its totient is φ = 11136.

The previous prime is 36809. The next prime is 36821. The reversal of 36816 is 61863.

36816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 595 + ... + 653.

It is an arithmetic number, because the mean of its divisors is an integer number (2604).

2³⁶⁸¹⁶ 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 36816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52080).

36816 is an abundant number, since it is smaller than the sum of its proper divisors (67344).

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

36816 is a wasteful number, since it uses less digits than its factorization.

36816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 77 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 36816 is about 191.8749592834. The cubic root of 36816 is about 33.2668898682.

The spelling of 36816 in words is "thirty-six thousand, eight hundred sixteen".