816012834 has 128 divisors (see below), whose sum is σ = 2076641280. Its totient is φ = 208065024.

The previous prime is 816012793. The next prime is 816012851. The reversal of 816012834 is 438210618.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 816012795 and 816012804.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2351449 + ... + 2351795.

It is an arithmetic number, because the mean of its divisors is an integer number (16223760).

Almost surely, 2^816012834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 816012834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1038320640).

816012834 is an abundant number, since it is smaller than the sum of its proper divisors (1260628446).

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

816012834 is a wasteful number, since it uses less digits than its factorization.

816012834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504.

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 816012834 is about 28565.9383532206. The cubic root of 816012834 is about 934.4706447195.

The spelling of 816012834 in words is "eight hundred sixteen million, twelve thousand, eight hundred thirty-four".