360126 has 56 divisors (see below), whose sum is σ = 918120. Its totient is φ = 104976.

The previous prime is 360091. The next prime is 360163. The reversal of 360126 is 621063.

It is a happy number.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 360099 and 360108.

It is a congruent number.

It is an unprimeable number.

360126 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 18945 + ... + 18963.

It is an arithmetic number, because the mean of its divisors is an integer number (16395).

2³⁶⁰¹²⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 360126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459060).

360126 is an abundant number, since it is smaller than the sum of its proper divisors (557994).

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

360126 is a wasteful number, since it uses less digits than its factorization.

360126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 360126 is about 600.1049908141. The cubic root of 360126 is about 71.1461645394.

Adding to 360126 its reverse (621063), we get a palindrome (981189).

The spelling of 360126 in words is "three hundred sixty thousand, one hundred twenty-six".