810216 has 96 divisors (see below), whose sum is σ = 2553600. Its totient is φ = 237600.

The previous prime is 810209. The next prime is 810223. The reversal of 810216 is 612018.

810216 = 14² + 15² + ... + 134².

810216 = 43³ + 44³ + ... + 50³.

810216 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 (810209) and next prime (810223).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 810216.

It is an unprimeable number.

810216 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 23 ways as a sum of consecutive naturals, for example, 26121 + ... + 26151.

It is an arithmetic number, because the mean of its divisors is an integer number (26600).

2⁸¹⁰²¹⁶ 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 810216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1276800).

810216 is an abundant number, since it is smaller than the sum of its proper divisors (1743384).

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

810216 is a wasteful number, since it uses less digits than its factorization.

810216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 810216 is about 900.1199920011. The cubic root of 810216 is about 93.2252603955.

It can be divided in two parts, 8102 and 16, that added together give a palindrome (8118).

The spelling of 810216 in words is "eight hundred ten thousand, two hundred sixteen".