36600 has 48 divisors (see below), whose sum is σ = 115320. Its totient is φ = 9600.

The previous prime is 36599. The next prime is 36607. The reversal of 36600 is 663.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 36600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 570 + ... + 630.

2³⁶⁶⁰⁰ is an apocalyptic number.

36600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57660).

36600 is an abundant number, since it is smaller than the sum of its proper divisors (78720).

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

36600 is a wasteful number, since it uses less digits than its factorization.

36600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 36600 is about 191.3112646971. The cubic root of 36600 is about 33.2017031110.

Subtracting from 36600 its sum of digits (15), we obtain a triangular number (36585 = T₂₇₀).

Subtracting from 36600 its reverse (663), we obtain a cube (35937 = 33³).

It can be divided in two parts, 36 and 600, that added together give a palindrome (636).

The spelling of 36600 in words is "thirty-six thousand, six hundred".