360360120 has 128 divisors (see below), whose sum is σ = 1132093440. Its totient is φ = 91653120.

The previous prime is 360360109. The next prime is 360360163. The reversal of 360360120 is 21063063.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 270897 + ... + 272223.

It is an arithmetic number, because the mean of its divisors is an integer number (8844480).

Almost surely, 2^360360120 is an apocalyptic number.

360360120 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 360360120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566046720).

360360120 is an abundant number, since it is smaller than the sum of its proper divisors (771733320).

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

360360120 is a wasteful number, since it uses less digits than its factorization.

360360120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445 (or 1441 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 360360120 is about 18983.1535841651. The cubic root of 360360120 is about 711.6157871095.

The spelling of 360360120 in words is "three hundred sixty million, three hundred sixty thousand, one hundred twenty".