830206260 has 240 divisors, whose sum is σ = 2845920000. Its totient is φ = 201367296.

The previous prime is 830206241. The next prime is 830206283. The reversal of 830206260 is 62602038.

830206260 is a `hidden beast` number, since 8 + 30 + 2 + 0 + 626 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1663491 + ... + 1663989.

It is an arithmetic number, because the mean of its divisors is an integer number (11858000).

Almost surely, 2^830206260 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 830206260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1422960000).

830206260 is an abundant number, since it is smaller than the sum of its proper divisors (2015713740).

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

830206260 is a wasteful number, since it uses less digits than its factorization.

830206260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 830206260 is about 28813.3000539681. The cubic root of 830206260 is about 939.8574780148.

Adding to 830206260 its reverse (62602038), we get a palindrome (892808298).

The spelling of 830206260 in words is "eight hundred thirty million, two hundred six thousand, two hundred sixty".