8208561834 has 96 divisors (see below), whose sum is σ = 19814595840. Its totient is φ = 2455390080.

The previous prime is 8208561799. The next prime is 8208561847. The reversal of 8208561834 is 4381658028.

8208561834 is a `hidden beast` number, since 8 + 2 + 0 + 8 + 561 + 83 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 8208561834.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1890514 + ... + 1894850.

It is an arithmetic number, because the mean of its divisors is an integer number (206402040).

Almost surely, 2^8208561834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8208561834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9907297920).

8208561834 is an abundant number, since it is smaller than the sum of its proper divisors (11606034006).

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

8208561834 is a wasteful number, since it uses less digits than its factorization.

8208561834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4457 (or 4432 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 8208561834 is about 90601.1138673251. The cubic root of 8208561834 is about 2017.2312681777.

The spelling of 8208561834 in words is "eight billion, two hundred eight million, five hundred sixty-one thousand, eight hundred thirty-four".