834126084 has 108 divisors (see below), whose sum is σ = 2361973068. Its totient is φ = 247927680.

The previous prime is 834126053. The next prime is 834126091. The reversal of 834126084 is 480621438.

834126084 is a `hidden beast` number, since 8 + 3 + 41 + 2 + 608 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 205119684 + 629006400 = 14322^2 + 25080^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 229062 + ... + 232674.

It is an arithmetic number, because the mean of its divisors is an integer number (21870121).

Almost surely, 2^834126084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 834126084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1180986534).

834126084 is an abundant number, since it is smaller than the sum of its proper divisors (1527846984).

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

834126084 is a wasteful number, since it uses less digits than its factorization.

834126084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3698 (or 3682 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 834126084 is about 28881.2410398168. The cubic root of 834126084 is about 941.3343370831.

The spelling of 834126084 in words is "eight hundred thirty-four million, one hundred twenty-six thousand, eighty-four".