820148868 has 288 divisors, whose sum is σ = 2749461120. Its totient is φ = 209018880.

The previous prime is 820148831. The next prime is 820148869. The reversal of 820148868 is 868841028.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (820148869) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 4249380 + ... + 4249572.

It is an arithmetic number, because the mean of its divisors is an integer number (9546740).

Almost surely, 2^820148868 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 820148868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374730560).

820148868 is an abundant number, since it is smaller than the sum of its proper divisors (1929312252).

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

820148868 is a wasteful number, since it uses less digits than its factorization.

820148868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The square root of 820148868 is about 28638.2413566196. The cubic root of 820148868 is about 936.0468007500.

The spelling of 820148868 in words is "eight hundred twenty million, one hundred forty-eight thousand, eight hundred sixty-eight".