8319920 has 80 divisors (see below), whose sum is σ = 22498560. Its totient is φ = 2802432.

The previous prime is 8319889. The next prime is 8319923. The reversal of 8319920 is 299138.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8319923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46391 + ... + 46569.

It is an arithmetic number, because the mean of its divisors is an integer number (281232).

Almost surely, 2^8319920 is an apocalyptic number.

8319920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8319920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11249280).

8319920 is an abundant number, since it is smaller than the sum of its proper divisors (14178640).

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

8319920 is a wasteful number, since it uses less digits than its factorization.

8319920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 32.

The square root of 8319920 is about 2884.4271528330. The cubic root of 8319920 is about 202.6312313008.

The spelling of 8319920 in words is "eight million, three hundred nineteen thousand, nine hundred twenty".