830605920 has 48 divisors (see below), whose sum is σ = 2616410160. Its totient is φ = 221494784.

The previous prime is 830605891. The next prime is 830605927. The reversal of 830605920 is 29506038.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830605927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 864735 + ... + 865694.

It is an arithmetic number, because the mean of its divisors is an integer number (54508545).

Almost surely, 2^830605920 is an apocalyptic number.

830605920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

830605920 is an abundant number, since it is smaller than the sum of its proper divisors (1785804240).

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

830605920 is a wasteful number, since it uses less digits than its factorization.

830605920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1730447 (or 1730439 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 830605920 is about 28820.2345583793. The cubic root of 830605920 is about 940.0082691290.

The spelling of 830605920 in words is "eight hundred thirty million, six hundred five thousand, nine hundred twenty".