830116560 has 320 divisors, whose sum is σ = 3199795200. Its totient is φ = 173352960.

The previous prime is 830116559. The next prime is 830116589. The reversal of 830116560 is 65611038.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4171341 + ... + 4171539.

It is an arithmetic number, because the mean of its divisors is an integer number (9999360).

Almost surely, 2^830116560 is an apocalyptic number.

830116560 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 830116560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1599897600).

830116560 is an abundant number, since it is smaller than the sum of its proper divisors (2369678640).

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

830116560 is a wasteful number, since it uses less digits than its factorization.

830116560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 830116560 is about 28811.7434390909. The cubic root of 830116560 is about 939.8236276910.

Adding to 830116560 its reverse (65611038), we get a palindrome (895727598).

The spelling of 830116560 in words is "eight hundred thirty million, one hundred sixteen thousand, five hundred sixty".