820558624 has 48 divisors (see below), whose sum is σ = 1704175200. Its totient is φ = 387846144.

The previous prime is 820558591. The next prime is 820558631. The reversal of 820558624 is 426855028.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 349647 + ... + 351985.

It is an arithmetic number, because the mean of its divisors is an integer number (35503650).

Almost surely, 2^820558624 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 820558624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852087600).

820558624 is an abundant number, since it is smaller than the sum of its proper divisors (883616576).

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

820558624 is a wasteful number, since it uses less digits than its factorization.

820558624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2945 (or 2937 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 40.

The square root of 820558624 is about 28645.3944640321. The cubic root of 820558624 is about 936.2026614520.

The spelling of 820558624 in words is "eight hundred twenty million, five hundred fifty-eight thousand, six hundred twenty-four".