806564736 has 256 divisors, whose sum is σ = 2536128000. Its totient is φ = 251817984.

The previous prime is 806564719. The next prime is 806564747. The reversal of 806564736 is 637465608.

806564736 is a `hidden beast` number, since 80 + 6 + 564 + 7 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 806564691 and 806564700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5802555 + ... + 5802693.

It is an arithmetic number, because the mean of its divisors is an integer number (9906750).

Almost surely, 2^806564736 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 806564736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1268064000).

806564736 is an abundant number, since it is smaller than the sum of its proper divisors (1729563264).

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

806564736 is a wasteful number, since it uses less digits than its factorization.

806564736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 806564736 is about 28400.0833801593. The cubic root of 806564736 is about 930.8500864072.

The spelling of 806564736 in words is "eight hundred six million, five hundred sixty-four thousand, seven hundred thirty-six".