830496 has 48 divisors (see below), whose sum is σ = 2243808. Its totient is φ = 268800.

The previous prime is 830483. The next prime is 830497. The reversal of 830496 is 694038.

It is a tau number, because it is divible by the number of its divisors (48).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830497) by changing a digit.

830496 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 7 ways as a sum of consecutive naturals, for example, 3831 + ... + 4041.

It is an arithmetic number, because the mean of its divisors is an integer number (46746).

2⁸³⁰⁴⁹⁶ 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 830496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121904).

830496 is an abundant number, since it is smaller than the sum of its proper divisors (1413312).

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

830496 is a wasteful number, since it uses less digits than its factorization.

830496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 830496 is about 911.3155326230. The cubic root of 830496 is about 93.9966801302.

It can be divided in two parts, 830 and 496, that added together give a triangular number (1326 = T₅₁).

The spelling of 830496 in words is "eight hundred thirty thousand, four hundred ninety-six".