830110960 has 120 divisors (see below), whose sum is σ = 2254918176. Its totient is φ = 283368960.

The previous prime is 830110927. The next prime is 830110961. The reversal of 830110960 is 69011038.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830110961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1650069 + ... + 1650571.

Almost surely, 2^830110960 is an apocalyptic number.

830110960 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 830110960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1127459088).

830110960 is an abundant number, since it is smaller than the sum of its proper divisors (1424807216).

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

830110960 is a wasteful number, since it uses less digits than its factorization.

830110960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 830110960 is about 28811.6462563318. The cubic root of 830110960 is about 939.8215143234.

Adding to 830110960 its reverse (69011038), we get a palindrome (899121998).

The spelling of 830110960 in words is "eight hundred thirty million, one hundred ten thousand, nine hundred sixty".