8023820532 has 144 divisors (see below), whose sum is σ = 23244923520. Its totient is φ = 2109279744.

The previous prime is 8023820513. The next prime is 8023820557. The reversal of 8023820532 is 2350283208.

It is a junction number, because it is equal to n+sod(n) for n = 8023820493 and 8023820502.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5521518 + ... + 5522970.

It is an arithmetic number, because the mean of its divisors is an integer number (161423080).

Almost surely, 2^8023820532 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 8023820532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11622461760).

8023820532 is an abundant number, since it is smaller than the sum of its proper divisors (15221102988).

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

8023820532 is a wasteful number, since it uses less digits than its factorization.

8023820532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1882 (or 1867 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 8023820532 is about 89575.7809455212. The cubic root of 8023820532 is about 2001.9830773855.

The spelling of 8023820532 in words is "eight billion, twenty-three million, eight hundred twenty thousand, five hundred thirty-two".