830100960 has 360 divisors, whose sum is σ = 3180620520. Its totient is φ = 203793408.

The previous prime is 830100923. The next prime is 830100961. The reversal of 830100960 is 69001038.

830100960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830100961) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2190051 + ... + 2190429.

It is an arithmetic number, because the mean of its divisors is an integer number (8835057).

Almost surely, 2^830100960 is an apocalyptic number.

830100960 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 830100960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590310260).

830100960 is an abundant number, since it is smaller than the sum of its proper divisors (2350519560).

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

830100960 is a wasteful number, since it uses less digits than its factorization.

830100960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 830100960 is about 28811.4727148752. The cubic root of 830100960 is about 939.8177404292.

Adding to 830100960 its reverse (69001038), we get a palindrome (899101998).

The spelling of 830100960 in words is "eight hundred thirty million, one hundred thousand, nine hundred sixty".