830960 has 80 divisors (see below), whose sum is σ = 2249856. Its totient is φ = 282624.

The previous prime is 830957. The next prime is 830981. The reversal of 830960 is 69038.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17657 + ... + 17703.

2⁸³⁰⁹⁶⁰ is an apocalyptic number.

830960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 830960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124928).

830960 is an abundant number, since it is smaller than the sum of its proper divisors (1418896).

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

830960 is a wasteful number, since it uses less digits than its factorization.

830960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 830960 is about 911.5700741029. The cubic root of 830960 is about 94.0141822573.

Adding to 830960 its reverse (69038), we get a palindrome (899998).

The spelling of 830960 in words is "eight hundred thirty thousand, nine hundred sixty".