808516064 has 48 divisors (see below), whose sum is σ = 1635863040. Its totient is φ = 393123840.

The previous prime is 808516003. The next prime is 808516067. The reversal of 808516064 is 460615808.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (808516067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 501692 + ... + 503300.

It is an arithmetic number, because the mean of its divisors is an integer number (34080480).

Almost surely, 2^808516064 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 808516064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817931520).

808516064 is an abundant number, since it is smaller than the sum of its proper divisors (827346976).

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

808516064 is a wasteful number, since it uses less digits than its factorization.

808516064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2043 (or 2035 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

The square root of 808516064 is about 28434.4168922100. The cubic root of 808516064 is about 931.6001526726.

The spelling of 808516064 in words is "eight hundred eight million, five hundred sixteen thousand, sixty-four".