360330120 has 144 divisors (see below), whose sum is σ = 1216938060. Its totient is φ = 96018048.

The previous prime is 360330101. The next prime is 360330137. The reversal of 360330120 is 21033063.

It is a happy number.

360330120 is a `hidden beast` number, since 360 + 3 + 301 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 335109636 + 25220484 = 18306^2 + 5022^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 360330093 and 360330102.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 261754 + ... + 263126.

Almost surely, 2^360330120 is an apocalyptic number.

360330120 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 360330120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608469030).

360330120 is an abundant number, since it is smaller than the sum of its proper divisors (856607940).

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

360330120 is an equidigital number, since it uses as much as digits as its factorization.

360330120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1408 (or 1383 counting only the distinct ones).

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

The square root of 360330120 is about 18982.3633934239. The cubic root of 360330120 is about 711.5960392103.

Adding to 360330120 its reverse (21033063), we get a palindrome (381363183).

The spelling of 360330120 in words is "three hundred sixty million, three hundred thirty thousand, one hundred twenty".