810816 has 56 divisors (see below), whose sum is σ = 2218944. Its totient is φ = 261120.

The previous prime is 810809. The next prime is 810839. The reversal of 810816 is 618018.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7821 + ... + 7923.

It is an arithmetic number, because the mean of its divisors is an integer number (39624).

2⁸¹⁰⁸¹⁶ 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 810816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1109472).

810816 is an abundant number, since it is smaller than the sum of its proper divisors (1408128).

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

810816 is a wasteful number, since it uses less digits than its factorization.

810816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 810816 is about 900.4532192180. The cubic root of 810816 is about 93.2482671635.

The spelling of 810816 in words is "eight hundred ten thousand, eight hundred sixteen".