816005064 has 64 divisors (see below), whose sum is σ = 2406666240. Its totient is φ = 225622080.

The previous prime is 816005051. The next prime is 816005077. The reversal of 816005064 is 460500618.

816005064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (816005051) and next prime (816005077).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73134 + ... + 83549.

It is an arithmetic number, because the mean of its divisors is an integer number (37604160).

Almost surely, 2^816005064 is an apocalyptic number.

816005064 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

816005064 is an abundant number, since it is smaller than the sum of its proper divisors (1590661176).

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

816005064 is a wasteful number, since it uses less digits than its factorization.

816005064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156730 (or 156726 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 816005064 is about 28565.8023517632. The cubic root of 816005064 is about 934.4676787285.

The spelling of 816005064 in words is "eight hundred sixteen million, five thousand, sixty-four".