830126220 has 192 divisors, whose sum is σ = 2960326656. Its totient is φ = 168779520.

The previous prime is 830126203. The next prime is 830126239. The reversal of 830126220 is 22621038.

830126220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×830126220² = 1378219082262976800, which contains 22 as substring.

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, 215229 + ... + 219051.

It is an arithmetic number, because the mean of its divisors is an integer number (15418368).

Almost surely, 2^830126220 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 830126220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1480163328).

830126220 is an abundant number, since it is smaller than the sum of its proper divisors (2130200436).

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

830126220 is a wasteful number, since it uses less digits than its factorization.

830126220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3900 (or 3898 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 830126220 is about 28811.9110785800. The cubic root of 830126220 is about 939.8272732276.

Adding to 830126220 its reverse (22621038), we get a palindrome (852747258).

The spelling of 830126220 in words is "eight hundred thirty million, one hundred twenty-six thousand, two hundred twenty".