806460032 has 96 divisors (see below), whose sum is σ = 1896294240. Its totient is φ = 340569600.

The previous prime is 806460019. The next prime is 806460041. The reversal of 806460032 is 230064608.

It is a junction number, because it is equal to n+sod(n) for n = 806459977 and 806460004.

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, 444407 + ... + 446217.

It is an arithmetic number, because the mean of its divisors is an integer number (19753065).

Almost surely, 2^806460032 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 806460032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948147120).

806460032 is an abundant number, since it is smaller than the sum of its proper divisors (1089834208).

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

806460032 is a wasteful number, since it uses less digits than its factorization.

806460032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1910 (or 1891 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 806460032 is about 28398.2399454614. The cubic root of 806460032 is about 930.8098053069.

The spelling of 806460032 in words is "eight hundred six million, four hundred sixty thousand, thirty-two".