360036 has 36 divisors (see below), whose sum is σ = 929292. Its totient is φ = 117504.

The previous prime is 360023. The next prime is 360037. The reversal of 360036 is 630063.

It can be written as a sum of positive squares in 2 ways, for example, as 207936 + 152100 = 456^2 + 390^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (360037) by changing a digit.

360036 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2560 + ... + 2696.

2³⁶⁰⁰³⁶ is an apocalyptic number.

360036 is a gapful number since it is divisible by the number (36) 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 360036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464646).

360036 is an abundant number, since it is smaller than the sum of its proper divisors (569256).

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

360036 is a wasteful number, since it uses less digits than its factorization.

360036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 215 counting only the distinct ones).

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

The square root of 360036 is about 600.0299992500. The cubic root of 360036 is about 71.1402372730.

360036 divided by its sum of digits (18) gives a palindrome (20002).

Adding to 360036 its reverse (630063), we get a palindrome (990099).

It can be divided in two parts, 3600 and 36, that multiplied together give a square (129600 = 360²).

The spelling of 360036 in words is "three hundred sixty thousand, thirty-six".