36360 has 48 divisors (see below), whose sum is σ = 119340. Its totient is φ = 9600.

The previous prime is 36353. The next prime is 36373. The reversal of 36360 is 6363.

It can be written as a sum of positive squares in 2 ways, for example, as 34596 + 1764 = 186^2 + 42^2 .

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 310 + ... + 410.

2³⁶³⁶⁰ is an apocalyptic number.

36360 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 36360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59670).

36360 is an abundant number, since it is smaller than the sum of its proper divisors (82980).

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

36360 is a wasteful number, since it uses less digits than its factorization.

36360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 36360 is about 190.6829829848. The cubic root of 36360 is about 33.1289718745.

The spelling of 36360 in words is "thirty-six thousand, three hundred sixty".