834180984 has 384 divisors, whose sum is σ = 3025612800. Its totient is φ = 207152640.

The previous prime is 834180967. The next prime is 834181003. The reversal of 834180984 is 489081438.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22545414 + ... + 22545450.

It is an arithmetic number, because the mean of its divisors is an integer number (7879200).

Almost surely, 2^834180984 is an apocalyptic number.

834180984 is a gapful number since it is divisible by the number (84) 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 834180984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512806400).

834180984 is an abundant number, since it is smaller than the sum of its proper divisors (2191431816).

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

834180984 is a wasteful number, since it uses less digits than its factorization.

834180984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 834180984 is about 28882.1914681002. The cubic root of 834180984 is about 941.3549886858.

The spelling of 834180984 in words is "eight hundred thirty-four million, one hundred eighty thousand, nine hundred eighty-four".