834424968 has 128 divisors (see below), whose sum is σ = 2303078400. Its totient is φ = 250373376.

The previous prime is 834424963. The next prime is 834425041. The reversal of 834424968 is 869424438.

It is not an unprimeable number, because it can be changed into a prime (834424961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3741705 + ... + 3741927.

It is an arithmetic number, because the mean of its divisors is an integer number (17992800).

Almost surely, 2^834424968 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 834424968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1151539200).

834424968 is an abundant number, since it is smaller than the sum of its proper divisors (1468653432).

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

834424968 is a wasteful number, since it uses less digits than its factorization.

834424968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 487 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 48.

The square root of 834424968 is about 28886.4149385139. The cubic root of 834424968 is about 941.4467566080.

It can be divided in two parts, 83442 and 4968, that added together give a triangular number (88410 = T₄₂₀).

The spelling of 834424968 in words is "eight hundred thirty-four million, four hundred twenty-four thousand, nine hundred sixty-eight".