834261120 has 960 divisors, whose sum is σ = 3939566400. Its totient is φ = 164229120.

The previous prime is 834261107. The next prime is 834261143. The reversal of 834261120 is 21162438.

834261120 is a `hidden beast` number, since 8 + 3 + 42 + 611 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 43908471 + ... + 43908489.

It is an arithmetic number, because the mean of its divisors is an integer number (4103715).

Almost surely, 2^834261120 is an apocalyptic number.

834261120 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 834261120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1969783200).

834261120 is an abundant number, since it is smaller than the sum of its proper divisors (3105305280).

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

834261120 is a wasteful number, since it uses less digits than its factorization.

834261120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 834261120 is about 28883.5787256358. The cubic root of 834261120 is about 941.3851316281.

The spelling of 834261120 in words is "eight hundred thirty-four million, two hundred sixty-one thousand, one hundred twenty".