806824 has 8 divisors (see below), whose sum is σ = 1512810. Its totient is φ = 403408.

The previous prime is 806821. The next prime is 806857. The reversal of 806824 is 428608.

806824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 777924 + 28900 = 882^2 + 170^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a junction number, because it is equal to n+sod(n) for n = 806792 and 806801.

It is not an unprimeable number, because it can be changed into a prime (806821) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50419 + ... + 50434.

2⁸⁰⁶⁸²⁴ is an apocalyptic number.

It is an amenable number.

806824 is a deficient number, since it is larger than the sum of its proper divisors (705986).

806824 is a wasteful number, since it uses less digits than its factorization.

806824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100859 (or 100855 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 806824 is about 898.2338225651. The cubic root of 806824 is about 93.0949813911.

The spelling of 806824 in words is "eight hundred six thousand, eight hundred twenty-four".