816011808 has 48 divisors (see below), whose sum is σ = 2166121440. Its totient is φ = 268944896.

The previous prime is 816011803. The next prime is 816011813. The reversal of 816011808 is 808110618.

It is an interprime number because it is at equal distance from previous prime (816011803) and next prime (816011813).

It is a tau number, because it is divible by the number of its divisors (48).

816011808 is a modest number, since divided by 11808 gives 8160 as remainder.

It is not an unprimeable number, because it can be changed into a prime (816011803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39210 + ... + 56297.

It is an arithmetic number, because the mean of its divisors is an integer number (45127530).

Almost surely, 2^816011808 is an apocalyptic number.

It is an amenable number.

816011808 is an abundant number, since it is smaller than the sum of its proper divisors (1350109632).

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

816011808 is a wasteful number, since it uses less digits than its factorization.

816011808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95609 (or 95601 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 33.

The square root of 816011808 is about 28565.9203947641. The cubic root of 816011808 is about 934.4702530723.

The spelling of 816011808 in words is "eight hundred sixteen million, eleven thousand, eight hundred eight".