816585618 has 16 divisors (see below), whose sum is σ = 1645639776. Its totient is φ = 270117120.

The previous prime is 816585617. The next prime is 816585619.

816585618 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (816585617) and next prime (816585619).

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (816585611) 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, 518671 + ... + 520242.

It is an arithmetic number, because the mean of its divisors is an integer number (102852486).

Almost surely, 2^816585618 is an apocalyptic number.

816585618 is an abundant number, since it is smaller than the sum of its proper divisors (829054158).

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

816585618 is a wasteful number, since it uses less digits than its factorization.

816585618 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039049.

The product of its digits is 460800, while the sum is 48.

The square root of 816585618 is about 28575.9622410165. The cubic root of 816585618 is about 934.6892379508.

The spelling of 816585618 in words is "eight hundred sixteen million, five hundred eighty-five thousand, six hundred eighteen".