810516 has 24 divisors (see below), whose sum is σ = 2161600. Its totient is φ = 231552.

The previous prime is 810503. The next prime is 810517. The reversal of 810516 is 615018.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 810492 and 810501.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 810516.

It is not an unprimeable number, because it can be changed into a prime (810517) by changing a digit.

810516 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, 4741 + ... + 4908.

2⁸¹⁰⁵¹⁶ is an apocalyptic number.

It is an amenable number.

810516 is an abundant number, since it is smaller than the sum of its proper divisors (1351084).

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

810516 is a wasteful number, since it uses less digits than its factorization.

810516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9663 (or 9661 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 810516 is about 900.2866210269. The cubic root of 810516 is about 93.2367651988.

It can be divided in two parts, 810 and 516, that added together give a triangular number (1326 = T₅₁).

The spelling of 810516 in words is "eight hundred ten thousand, five hundred sixteen".