816910605 has 288 divisors, whose sum is σ = 1946280960. Its totient is φ = 313528320.

The previous prime is 816910583. The next prime is 816910621. The reversal of 816910605 is 506019618.

It is not a de Polignac number, because 816910605 - 2¹⁹ = 816386317 is a prime.

It is a super-2 number, since 2×816910605² = 1334685873122932050, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 816910605.

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 22078647 + ... + 22078683.

It is an arithmetic number, because the mean of its divisors is an integer number (6757920).

Almost surely, 2^816910605 is an apocalyptic number.

816910605 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

816910605 is an abundant number, since it is smaller than the sum of its proper divisors (1129370355).

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

816910605 is a wasteful number, since it uses less digits than its factorization.

816910605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 816910605 is about 28581.6480455554. The cubic root of 816910605 is about 934.8132182399.

The spelling of 816910605 in words is "eight hundred sixteen million, nine hundred ten thousand, six hundred five".