834816 has 36 divisors (see below), whose sum is σ = 2223872. Its totient is φ = 278016.

The previous prime is 834811. The next prime is 834829. The reversal of 834816 is 618438.

It is a happy number.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 834816.

It is not an unprimeable number, because it can be changed into a prime (834811) by changing a digit.

834816 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 225 + ... + 1311.

2⁸³⁴⁸¹⁶ 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 834816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1111936).

834816 is an abundant number, since it is smaller than the sum of its proper divisors (1389056).

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

834816 is a wasteful number, since it uses less digits than its factorization.

834816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106 (or 1092 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 834816 is about 913.6826582572. The cubic root of 834816 is about 94.1593795320.

The spelling of 834816 in words is "eight hundred thirty-four thousand, eight hundred sixteen".