834201216 has 96 divisors (see below), whose sum is σ = 2406252420. Its totient is φ = 277401600.

The previous prime is 834201197. The next prime is 834201217. The reversal of 834201216 is 612102438.

It can be written as a sum of positive squares in 2 ways, for example, as 641102400 + 193098816 = 25320^2 + 13896^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 834201216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (834201217) 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 11 ways as a sum of consecutive naturals, for example, 807036 + ... + 808068.

Almost surely, 2^834201216 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 834201216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203126210).

834201216 is an abundant number, since it is smaller than the sum of its proper divisors (1572051204).

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

834201216 is a wasteful number, since it uses less digits than its factorization.

834201216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1754 (or 1739 counting only the distinct ones).

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

The square root of 834201216 is about 28882.5417164072. The cubic root of 834201216 is about 941.3625990807.

The spelling of 834201216 in words is "eight hundred thirty-four million, two hundred one thousand, two hundred sixteen".