830616930 has 320 divisors, whose sum is σ = 2687198976. Its totient is φ = 181440000.

The previous prime is 830616929. The next prime is 830616967. The reversal of 830616930 is 39616038.

It is a happy number.

830616930 is a `hidden beast` number, since 8 + 3 + 0 + 616 + 9 + 30 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8223880 + ... + 8223980.

Almost surely, 2^830616930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 830616930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1343599488).

830616930 is an abundant number, since it is smaller than the sum of its proper divisors (1856582046).

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

830616930 is a wasteful number, since it uses less digits than its factorization.

830616930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 830616930 is about 28820.4255693770. The cubic root of 830616930 is about 940.0124225007.

The spelling of 830616930 in words is "eight hundred thirty million, six hundred sixteen thousand, nine hundred thirty".