820096992 has 144 divisors (see below), whose sum is σ = 2740007088. Its totient is φ = 229386240.

The previous prime is 820096961. The next prime is 820096999. The reversal of 820096992 is 299690028.

820096992 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 (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820096999) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31228 + ... + 51140.

It is an arithmetic number, because the mean of its divisors is an integer number (19027827).

Almost surely, 2^820096992 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 820096992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1370003544).

820096992 is an abundant number, since it is smaller than the sum of its proper divisors (1919910096).

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

820096992 is a wasteful number, since it uses less digits than its factorization.

820096992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19953 (or 19942 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 820096992 is about 28637.3356302572. The cubic root of 820096992 is about 936.0270647445.

The spelling of 820096992 in words is "eight hundred twenty million, ninety-six thousand, nine hundred ninety-two".