834543840 has 192 divisors, whose sum is σ = 2980454400. Its totient is φ = 194586624.

The previous prime is 834543823. The next prime is 834543841. The reversal of 834543840 is 48345438.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (834543841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115041 + ... + 122079.

It is an arithmetic number, because the mean of its divisors is an integer number (15523200).

Almost surely, 2^834543840 is an apocalyptic number.

834543840 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 834543840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490227200).

834543840 is an abundant number, since it is smaller than the sum of its proper divisors (2145910560).

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

834543840 is a wasteful number, since it uses less digits than its factorization.

834543840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7089 (or 7081 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

The square root of 834543840 is about 28888.4724414428. The cubic root of 834543840 is about 941.4914605855.

The spelling of 834543840 in words is "eight hundred thirty-four million, five hundred forty-three thousand, eight hundred forty".