834273216 has 336 divisors, whose sum is σ = 2918764800. Its totient is φ = 232920576.

The previous prime is 834273203. The next prime is 834273221. The reversal of 834273216 is 612372438.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4995565 + ... + 4995731.

It is an arithmetic number, because the mean of its divisors is an integer number (8686800).

Almost surely, 2^834273216 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 834273216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459382400).

834273216 is an abundant number, since it is smaller than the sum of its proper divisors (2084491584).

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

834273216 is a wasteful number, since it uses less digits than its factorization.

834273216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 238 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 834273216 is about 28883.7881172120. The cubic root of 834273216 is about 941.3896813385.

The spelling of 834273216 in words is "eight hundred thirty-four million, two hundred seventy-three thousand, two hundred sixteen".