806520 has 128 divisors (see below), whose sum is σ = 2903040. Its totient is φ = 176640.

The previous prime is 806513. The next prime is 806521. The reversal of 806520 is 25608.

It is a happy number.

806520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17137 + ... + 17183.

It is an arithmetic number, because the mean of its divisors is an integer number (22680).

2⁸⁰⁶⁵²⁰ 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 806520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451520).

806520 is an abundant number, since it is smaller than the sum of its proper divisors (2096520).

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

806520 is a wasteful number, since it uses less digits than its factorization.

806520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 806520 is about 898.0645856507. The cubic root of 806520 is about 93.0832876266.

It can be divided in two parts, 806 and 520, that added together give a triangular number (1326 = T₅₁).

The spelling of 806520 in words is "eight hundred six thousand, five hundred twenty".