360018560 has 96 divisors (see below), whose sum is σ = 946228500. Its totient is φ = 130887680.

The previous prime is 360018551. The next prime is 360018599. The reversal of 360018560 is 65810063.

It can be written as a sum of positive squares in 2 ways, for example, as 338265664 + 21752896 = 18392^2 + 4664^2 .

It is a super-2 number, since 2×360018560² = 259226727088947200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75116 + ... + 79764.

Almost surely, 2^360018560 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 360018560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473114250).

360018560 is an abundant number, since it is smaller than the sum of its proper divisors (586209940).

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

360018560 is a wasteful number, since it uses less digits than its factorization.

360018560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4690 (or 4667 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 360018560 is about 18974.1550536513. The cubic root of 360018560 is about 711.3908858620.

The spelling of 360018560 in words is "three hundred sixty million, eighteen thousand, five hundred sixty".