834933120 has 512 divisors, whose sum is σ = 3304212480. Its totient is φ = 175177728.

The previous prime is 834933101. The next prime is 834933167. The reversal of 834933120 is 21339438.

It is a happy number.

It is a super-2 number, since 2×834933120² = 1394226629745868800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11437404 + ... + 11437476.

It is an arithmetic number, because the mean of its divisors is an integer number (6453540).

Almost surely, 2^834933120 is an apocalyptic number.

834933120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 834933120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1652106240).

834933120 is an abundant number, since it is smaller than the sum of its proper divisors (2469279360).

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

834933120 is a wasteful number, since it uses less digits than its factorization.

834933120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 834933120 is about 28895.2092915071. The cubic root of 834933120 is about 941.6378267026.

The spelling of 834933120 in words is "eight hundred thirty-four million, nine hundred thirty-three thousand, one hundred twenty".