820580868 has 144 divisors (see below), whose sum is σ = 2280358080. Its totient is φ = 257572224.

The previous prime is 820580833. The next prime is 820580921. The reversal of 820580868 is 868085028.

820580868 is a `hidden beast` number, since 8 + 2 + 0 + 580 + 8 + 68 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1211746 + ... + 1212422.

It is an arithmetic number, because the mean of its divisors is an integer number (15835820).

Almost surely, 2^820580868 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 820580868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1140179040).

820580868 is an abundant number, since it is smaller than the sum of its proper divisors (1459777212).

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

820580868 is a wasteful number, since it uses less digits than its factorization.

820580868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The square root of 820580868 is about 28645.7827262583. The cubic root of 820580868 is about 936.2111210157.

The spelling of 820580868 in words is "eight hundred twenty million, five hundred eighty thousand, eight hundred sixty-eight".