820662816 has 96 divisors (see below), whose sum is σ = 2255662080. Its totient is φ = 260758784.

The previous prime is 820662761. The next prime is 820662889. The reversal of 820662816 is 618266028.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 977725 + ... + 978563.

It is an arithmetic number, because the mean of its divisors is an integer number (23496480).

Almost surely, 2^820662816 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 820662816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1127831040).

820662816 is an abundant number, since it is smaller than the sum of its proper divisors (1434999264).

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

820662816 is a wasteful number, since it uses less digits than its factorization.

820662816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 820662816 is about 28647.2130581668. The cubic root of 820662816 is about 936.2422851492.

The spelling of 820662816 in words is "eight hundred twenty million, six hundred sixty-two thousand, eight hundred sixteen".