830116 has 24 divisors (see below), whose sum is σ = 1733760. Its totient is φ = 340032.

The previous prime is 830111. The next prime is 830117. The reversal of 830116 is 611038.

830116 is a nontrivial binomial coefficient, being equal to C(1289, 2).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 830093 and 830102.

It is not an unprimeable number, because it can be changed into a prime (830111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1 + ... + 1288.

It is an arithmetic number, because the mean of its divisors is an integer number (72240).

2⁸³⁰¹¹⁶ is an apocalyptic number.

830116 is the 1288-th triangular number.

830116 is the 430-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 830116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866880).

830116 is an abundant number, since it is smaller than the sum of its proper divisors (903644).

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

830116 is a wasteful number, since it uses less digits than its factorization.

830116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 830116 is about 911.1070189610. The cubic root of 830116 is about 93.9823416355.

It can be divided in two parts, 830 and 116, that added together give a triangular number (946 = T₄₃).

The spelling of 830116 in words is "eight hundred thirty thousand, one hundred sixteen".