820518912 has 168 divisors, whose sum is σ = 2453518080. Its totient is φ = 263946240.

The previous prime is 820518887. The next prime is 820518913. The reversal of 820518912 is 219815028.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (820518913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2285389 + ... + 2285747.

Almost surely, 2^820518912 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 820518912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1226759040).

820518912 is an abundant number, since it is smaller than the sum of its proper divisors (1632999168).

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

820518912 is a wasteful number, since it uses less digits than its factorization.

820518912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 820518912 is about 28644.7012901165. The cubic root of 820518912 is about 936.1875582939.

The spelling of 820518912 in words is "eight hundred twenty million, five hundred eighteen thousand, nine hundred twelve".