830016 has 84 divisors (see below), whose sum is σ = 2615184. Its totient is φ = 249600.

The previous prime is 830003. The next prime is 830017. The reversal of 830016 is 610038.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 830016.

It is not an unprimeable number, because it can be changed into a prime (830017) by changing a digit.

830016 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 11 ways as a sum of consecutive naturals, for example, 6271 + ... + 6401.

2⁸³⁰⁰¹⁶ 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 830016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307592).

830016 is an abundant number, since it is smaller than the sum of its proper divisors (1785168).

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

830016 is a wasteful number, since it uses less digits than its factorization.

830016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 830016 is about 911.0521390129. The cubic root of 830016 is about 93.9785676201.

The spelling of 830016 in words is "eight hundred thirty thousand, sixteen".