360604560 has 160 divisors (see below), whose sum is σ = 1166711040. Its totient is φ = 92022784.

The previous prime is 360604549. The next prime is 360604567. The reversal of 360604560 is 65406063.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (360604567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1370989 + ... + 1371251.

It is an arithmetic number, because the mean of its divisors is an integer number (7291944).

Almost surely, 2^360604560 is an apocalyptic number.

360604560 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 360604560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583355520).

360604560 is an abundant number, since it is smaller than the sum of its proper divisors (806106480).

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

360604560 is a wasteful number, since it uses less digits than its factorization.

360604560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 360604560 is about 18989.5908328747. The cubic root of 360604560 is about 711.7766521604.

The spelling of 360604560 in words is "three hundred sixty million, six hundred four thousand, five hundred sixty".