820854048 has 192 divisors, whose sum is σ = 2586850560. Its totient is φ = 222953472.

The previous prime is 820854037. The next prime is 820854049. The reversal of 820854048 is 840458028.

It is a junction number, because it is equal to n+sod(n) for n = 820853997 and 820854015.

It is not an unprimeable number, because it can be changed into a prime (820854049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1422336 + ... + 1422912.

It is an arithmetic number, because the mean of its divisors is an integer number (13473180).

Almost surely, 2^820854048 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 820854048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293425280).

820854048 is an abundant number, since it is smaller than the sum of its proper divisors (1765996512).

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

820854048 is a wasteful number, since it uses less digits than its factorization.

820854048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 39.

The square root of 820854048 is about 28650.5505706260. The cubic root of 820854048 is about 936.3150009981.

The spelling of 820854048 in words is "eight hundred twenty million, eight hundred fifty-four thousand, forty-eight".