830612970 has 144 divisors (see below), whose sum is σ = 2403240840. Its totient is φ = 198865920.

The previous prime is 830612957. The next prime is 830612971. The reversal of 830612970 is 79216038.

830612970 is a `hidden beast` number, since 8 + 30 + 612 + 9 + 7 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 719795241 + 110817729 = 26829^2 + 10527^2 .

It is not an unprimeable number, because it can be changed into a prime (830612971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 968782 + ... + 969638.

Almost surely, 2^830612970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 830612970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1201620420).

830612970 is an abundant number, since it is smaller than the sum of its proper divisors (1572627870).

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

830612970 is a wasteful number, since it uses less digits than its factorization.

830612970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 830612970 is about 28820.3568680195. The cubic root of 830612970 is about 940.0109286492.

The spelling of 830612970 in words is "eight hundred thirty million, six hundred twelve thousand, nine hundred seventy".