360801 has 32 divisors (see below), whose sum is σ = 645120. Its totient is φ = 194832.

The previous prime is 360781. The next prime is 360803. The reversal of 360801 is 108063.

It is not a de Polignac number, because 360801 - 2⁵ = 360769 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 360801.

It is not an unprimeable number, because it can be changed into a prime (360803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4306 + ... + 4388.

It is an arithmetic number, because the mean of its divisors is an integer number (20160).

2³⁶⁰⁸⁰¹ is an apocalyptic number.

It is an amenable number.

360801 is a deficient number, since it is larger than the sum of its proper divisors (284319).

360801 is a wasteful number, since it uses less digits than its factorization.

360801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 360801 is about 600.6671291156. The cubic root of 360801 is about 71.1905875913.

Adding to 360801 its reverse (108063), we get a palindrome (468864).

The spelling of 360801 in words is "three hundred sixty thousand, eight hundred one".