360648 has 24 divisors (see below), whose sum is σ = 976950. Its totient is φ = 120192.

The previous prime is 360637. The next prime is 360649. The reversal of 360648 is 846063.

It can be written as a sum of positive squares in only one way, i.e., 311364 + 49284 = 558^2 + 222^2 .

It is a tau number, because it is divible by the number of its divisors (24).

360648 is a modest number, since divided by 648 gives 360 as remainder.

It is not an unprimeable number, because it can be changed into a prime (360649) by changing a digit.

360648 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2433 + ... + 2576.

2³⁶⁰⁶⁴⁸ is an apocalyptic number.

It is an amenable number.

360648 is an abundant number, since it is smaller than the sum of its proper divisors (616302).

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

360648 is a wasteful number, since it uses less digits than its factorization.

360648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5021 (or 5014 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 360648 is about 600.5397572185. The cubic root of 360648 is about 71.1805232254.

The spelling of 360648 in words is "three hundred sixty thousand, six hundred forty-eight".