820435848 has 48 divisors (see below), whose sum is σ = 2085492240. Its totient is φ = 268966080.

The previous prime is 820435799. The next prime is 820435849. The reversal of 820435848 is 848534028.

It is a happy number.

820435848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×820435848² = 1346229961366958208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (820435849) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84711 + ... + 93897.

It is an arithmetic number, because the mean of its divisors is an integer number (43447755).

Almost surely, 2^820435848 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 820435848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1042746120).

820435848 is an abundant number, since it is smaller than the sum of its proper divisors (1265056392).

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

820435848 is a wasteful number, since it uses less digits than its factorization.

820435848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9318 (or 9253 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The square root of 820435848 is about 28643.2513517582. The cubic root of 820435848 is about 936.1559660473.

The spelling of 820435848 in words is "eight hundred twenty million, four hundred thirty-five thousand, eight hundred forty-eight".