834188520 has 192 divisors, whose sum is σ = 2791978560. Its totient is φ = 199203840.

The previous prime is 834188513. The next prime is 834188533. The reversal of 834188520 is 25881438.

834188520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1059567 + ... + 1060353.

It is an arithmetic number, because the mean of its divisors is an integer number (14541555).

Almost surely, 2^834188520 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 834188520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395989280).

834188520 is an abundant number, since it is smaller than the sum of its proper divisors (1957790040).

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

834188520 is a wasteful number, since it uses less digits than its factorization.

834188520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 834188520 is about 28882.3219288201. The cubic root of 834188520 is about 941.3578234143.

The spelling of 834188520 in words is "eight hundred thirty-four million, one hundred eighty-eight thousand, five hundred twenty".