360816 has 20 divisors (see below), whose sum is σ = 932232. Its totient is φ = 120256.

The previous prime is 360803. The next prime is 360817. The reversal of 360816 is 618063.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (360817) by changing a digit.

360816 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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3711 + ... + 3806.

2³⁶⁰⁸¹⁶ is an apocalyptic number.

It is an amenable number.

360816 is an abundant number, since it is smaller than the sum of its proper divisors (571416).

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

360816 is a wasteful number, since it uses less digits than its factorization.

360816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7528 (or 7522 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 360816 is about 600.6796151028. The cubic root of 360816 is about 71.1915741407.

Adding to 360816 its reverse (618063), we get a palindrome (978879).

It can be divided in two parts, 360 and 816, that added together give a triangular number (1176 = T₄₈).

The spelling of 360816 in words is "three hundred sixty thousand, eight hundred sixteen".