820580867 has 8 divisors (see below), whose sum is σ = 868320000. Its totient is φ = 773846920.

The previous prime is 820580833. The next prime is 820580921. The reversal of 820580867 is 768085028.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 820580867 - 2⁸ = 820580611 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (820580807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 249617 + ... + 252882.

It is an arithmetic number, because the mean of its divisors is an integer number (108540000).

Almost surely, 2^820580867 is an apocalyptic number.

820580867 is a deficient number, since it is larger than the sum of its proper divisors (47739133).

820580867 is a wasteful number, since it uses less digits than its factorization.

820580867 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502593.

The product of its (nonzero) digits is 215040, while the sum is 44.

The square root of 820580867 is about 28645.7827088038. The cubic root of 820580867 is about 936.2111206354.

The spelling of 820580867 in words is "eight hundred twenty million, five hundred eighty thousand, eight hundred sixty-seven".