830736 has 50 divisors (see below), whose sum is σ = 2408142. Its totient is φ = 276480.

The previous prime is 830729. The next prime is 830741. The reversal of 830736 is 637038.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 810000 + 20736 = 900^2 + 144^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 830736.

It is an unprimeable number.

830736 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 9 ways as a sum of consecutive naturals, for example, 976 + ... + 1616.

2⁸³⁰⁷³⁶ 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 830736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1204071).

830736 is an abundant number, since it is smaller than the sum of its proper divisors (1577406).

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

830736 is a wasteful number, since it uses less digits than its factorization.

830736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 830736 is about 911.4472008844. The cubic root of 830736 is about 94.0057337682.

The spelling of 830736 in words is "eight hundred thirty thousand, seven hundred thirty-six".