806405064 has 64 divisors (see below), whose sum is σ = 2153615040. Its totient is φ = 250736640.

The previous prime is 806405057. The next prime is 806405069. The reversal of 806405064 is 460504608.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (806405069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37359 + ... + 54849.

It is an arithmetic number, because the mean of its divisors is an integer number (33650235).

Almost surely, 2^806405064 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 806405064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1076807520).

806405064 is an abundant number, since it is smaller than the sum of its proper divisors (1347209976).

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

806405064 is a wasteful number, since it uses less digits than its factorization.

806405064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17630 (or 17626 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 806405064 is about 28397.2721225120. The cubic root of 806405064 is about 930.7886569491.

The spelling of 806405064 in words is "eight hundred six million, four hundred five thousand, sixty-four".