816360 has 32 divisors (see below), whose sum is σ = 2449440. Its totient is φ = 217664.

The previous prime is 816353. The next prime is 816367. The reversal of 816360 is 63618.

816360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (816353) and next prime (816367).

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

It is a self number, because there is not a number n which added to its sum of digits gives 816360.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 816360.

It is not an unprimeable number, because it can be changed into a prime (816367) by changing a digit.

816360 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 7 ways as a sum of consecutive naturals, for example, 3282 + ... + 3521.

It is an arithmetic number, because the mean of its divisors is an integer number (76545).

2⁸¹⁶³⁶⁰ is an apocalyptic number.

It is an amenable number.

816360 is an abundant number, since it is smaller than the sum of its proper divisors (1633080).

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

816360 is a wasteful number, since it uses less digits than its factorization.

816360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6817 (or 6813 counting only the distinct ones).

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

The square root of 816360 is about 903.5264246274. The cubic root of 816360 is about 93.4603146900.

Adding to 816360 its reverse (63618), we get a palindrome (879978).

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

The spelling of 816360 in words is "eight hundred sixteen thousand, three hundred sixty".