830571168 has 144 divisors (see below), whose sum is σ = 2669980320. Its totient is φ = 224792064.

The previous prime is 830571167. The next prime is 830571197. The reversal of 830571168 is 861175038.

It is a super-2 number, since 2×830571168² = 1379696930225768448, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (830571163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84730 + ... + 94022.

It is an arithmetic number, because the mean of its divisors is an integer number (18541530).

Almost surely, 2^830571168 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 830571168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334990160).

830571168 is an abundant number, since it is smaller than the sum of its proper divisors (1839409152).

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

830571168 is a wasteful number, since it uses less digits than its factorization.

830571168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9339 (or 9324 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 830571168 is about 28819.6316423371. The cubic root of 830571168 is about 939.9951591723.

The spelling of 830571168 in words is "eight hundred thirty million, five hundred seventy-one thousand, one hundred sixty-eight".