8023680 has 192 divisors, whose sum is σ = 31824000. Its totient is φ = 1824768.

The previous prime is 8023669. The next prime is 8023739. The reversal of 8023680 is 863208.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40221 + ... + 40419.

It is an arithmetic number, because the mean of its divisors is an integer number (165750).

Almost surely, 2^8023680 is an apocalyptic number.

8023680 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 8023680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15912000).

8023680 is an abundant number, since it is smaller than the sum of its proper divisors (23800320).

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

8023680 is a wasteful number, since it uses less digits than its factorization.

8023680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 8023680 is about 2832.6101037735. The cubic root of 8023680 is about 200.1971389507.

Adding to 8023680 its reverse (863208), we get a palindrome (8886888).

The spelling of 8023680 in words is "eight million, twenty-three thousand, six hundred eighty".