360608 has 24 divisors (see below), whose sum is σ = 725760. Its totient is φ = 176320.

The previous prime is 360593. The next prime is 360611. The reversal of 360608 is 806063.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 360608.

It is an unprimeable number.

360608 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1793 + ... + 1983.

It is an arithmetic number, because the mean of its divisors is an integer number (30240).

2³⁶⁰⁶⁰⁸ 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 360608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362880).

360608 is an abundant number, since it is smaller than the sum of its proper divisors (365152).

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

360608 is a wasteful number, since it uses less digits than its factorization.

360608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 360608 is about 600.5064529212. The cubic root of 360608 is about 71.1778915493.

The spelling of 360608 in words is "three hundred sixty thousand, six hundred eight".