810016 has 24 divisors (see below), whose sum is σ = 1689660. Its totient is φ = 380928.

The previous prime is 810013. The next prime is 810023. The reversal of 810016 is 610018.

810016 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in 2 ways, for example, as 810000 + 16 = 900^2 + 4^2 .

It is a super-2 number, since 2×810016² = 1312251840512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a plaindrome in base 13.

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (810013) 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 3 ways as a sum of consecutive naturals, for example, 201 + ... + 1288.

2⁸¹⁰⁰¹⁶ is an apocalyptic number.

It is an amenable number.

810016 is an abundant number, since it is smaller than the sum of its proper divisors (879644).

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

810016 is a wasteful number, since it uses less digits than its factorization.

810016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516 (or 1508 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 810016 is about 900.0088888450. The cubic root of 810016 is about 93.2175889489.

Subtracting from 810016 its sum of digits (16), we obtain a 4-th power (810000 = 30⁴).

It can be divided in two parts, 8100 and 16, that multiplied together give a square (129600 = 360²).

The spelling of 810016 in words is "eight hundred ten thousand, sixteen".