8219923920 has 120 divisors (see below), whose sum is σ = 29728758696. Its totient is φ = 2023363584.

The previous prime is 8219923889. The next prime is 8219923927. The reversal of 8219923920 is 293299128.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 372798864 + 7847125056 = 19308^2 + 88584^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8219923927) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 429739 + ... + 448458.

Almost surely, 2^8219923920 is an apocalyptic number.

8219923920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8219923920 is an abundant number, since it is smaller than the sum of its proper divisors (21508834776).

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

8219923920 is a wasteful number, since it uses less digits than its factorization.

8219923920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878229 (or 878220 counting only the distinct ones).

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

The square root of 8219923920 is about 90663.7960820084. The cubic root of 8219923920 is about 2018.1615727655.

The spelling of 8219923920 in words is "eight billion, two hundred nineteen million, nine hundred twenty-three thousand, nine hundred twenty".