834506820 has 192 divisors, whose sum is σ = 2981583360. Its totient is φ = 189817344.

The previous prime is 834506819. The next prime is 834506821. The reversal of 834506820 is 28605438.

It is an interprime number because it is at equal distance from previous prime (834506819) and next prime (834506821).

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

It is not an unprimeable number, because it can be changed into a prime (834506821) 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 63 ways as a sum of consecutive naturals, for example, 1046662 + ... + 1047458.

It is an arithmetic number, because the mean of its divisors is an integer number (15529080).

Almost surely, 2^834506820 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 834506820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490791680).

834506820 is an abundant number, since it is smaller than the sum of its proper divisors (2147076540).

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

834506820 is a wasteful number, since it uses less digits than its factorization.

834506820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 834506820 is about 28887.8316943311. The cubic root of 834506820 is about 941.4775389964.

The spelling of 834506820 in words is "eight hundred thirty-four million, five hundred six thousand, eight hundred twenty".