834048 has 60 divisors (see below), whose sum is σ = 2420418. Its totient is φ = 276480.

The previous prime is 834023. The next prime is 834059. The reversal of 834048 is 840438.

It can be written as a sum of positive squares in only one way, i.e., 831744 + 2304 = 912^2 + 48^2 .

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 834048.

It is an unprimeable number.

834048 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4518 + ... + 4698.

2⁸³⁴⁰⁴⁸ 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 834048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1210209).

834048 is an abundant number, since it is smaller than the sum of its proper divisors (1586370).

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

834048 is a wasteful number, since it uses less digits than its factorization.

834048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 834048 is about 913.2622843411. The cubic root of 834048 is about 94.1304962849.

The spelling of 834048 in words is "eight hundred thirty-four thousand, forty-eight".