806432 has 48 divisors (see below), whose sum is σ = 1814400. Its totient is φ = 349440.

The previous prime is 806389. The next prime is 806447. The reversal of 806432 is 234608.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 806398 and 806407.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 806432.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 10169 + ... + 10247.

It is an arithmetic number, because the mean of its divisors is an integer number (37800).

2⁸⁰⁶⁴³² 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 806432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907200).

806432 is an abundant number, since it is smaller than the sum of its proper divisors (1007968).

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

806432 is a wasteful number, since it uses less digits than its factorization.

806432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 806432 is about 898.0155900651. The cubic root of 806432 is about 93.0799020411.

The spelling of 806432 in words is "eight hundred six thousand, four hundred thirty-two".