8006320 has 120 divisors (see below), whose sum is σ = 23328864. Its totient is φ = 2494464.

The previous prime is 8006287. The next prime is 8006329. The reversal of 8006320 is 236008.

It is not an unprimeable number, because it can be changed into a prime (8006329) by changing a digit.

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, 276066 + ... + 276094.

Almost surely, 2^8006320 is an apocalyptic number.

8006320 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 8006320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11664432).

8006320 is an abundant number, since it is smaller than the sum of its proper divisors (15322544).

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

8006320 is a wasteful number, since it uses less digits than its factorization.

8006320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 8006320 is about 2829.5441328949. The cubic root of 8006320 is about 200.0526528039.

The spelling of 8006320 in words is "eight million, six thousand, three hundred twenty".