820898688 has 64 divisors (see below), whose sum is σ = 2184754320. Its totient is φ = 273100800.

The previous prime is 820898653. The next prime is 820898699. The reversal of 820898688 is 886898028.

820898688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 229006 + ... + 232562.

Almost surely, 2^820898688 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 820898688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1092377160).

820898688 is an abundant number, since it is smaller than the sum of its proper divisors (1363855632).

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

820898688 is a wasteful number, since it uses less digits than its factorization.

820898688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4175 (or 4163 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 57.

The square root of 820898688 is about 28651.3296026554. The cubic root of 820898688 is about 936.3319737043.

The spelling of 820898688 in words is "eight hundred twenty million, eight hundred ninety-eight thousand, six hundred eighty-eight".