806832 has 60 divisors (see below), whose sum is σ = 2437344. Its totient is φ = 247680.

The previous prime is 806821. The next prime is 806857. The reversal of 806832 is 238608.

806832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 806796 and 806805.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1657 + ... + 2087.

2⁸⁰⁶⁸³² 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 806832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218672).

806832 is an abundant number, since it is smaller than the sum of its proper divisors (1630512).

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

806832 is a wasteful number, since it uses less digits than its factorization.

806832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 806832 is about 898.2382757376. The cubic root of 806832 is about 93.0952890821.

It can be divided in two parts, 8068 and 32, that added together give a square (8100 = 90²).

The spelling of 806832 in words is "eight hundred six thousand, eight hundred thirty-two".