360205120 has 112 divisors (see below), whose sum is σ = 966191616. Its totient is φ = 126720000.

The previous prime is 360205103. The next prime is 360205127. The reversal of 360205120 is 21502063.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (360205127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107470 + ... + 110770.

Almost surely, 2^360205120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 360205120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483095808).

360205120 is an abundant number, since it is smaller than the sum of its proper divisors (605986496).

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

360205120 is a wasteful number, since it uses less digits than its factorization.

360205120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3360 (or 3350 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 360205120 is about 18979.0705778760. The cubic root of 360205120 is about 711.5137444962.

Adding to 360205120 its reverse (21502063), we get a palindrome (381707183).

The spelling of 360205120 in words is "three hundred sixty million, two hundred five thousand, one hundred twenty".