8006920 has 32 divisors (see below), whose sum is σ = 18403200. Its totient is φ = 3133888.

The previous prime is 8006909. The next prime is 8006939. The reversal of 8006920 is 296008.

It is a super-2 number, since 2×8006920² = 128221535772800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 250 + ... + 4009.

It is an arithmetic number, because the mean of its divisors is an integer number (575100).

Almost surely, 2^8006920 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 8006920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9201600).

8006920 is an abundant number, since it is smaller than the sum of its proper divisors (10396280).

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

8006920 is a wasteful number, since it uses less digits than its factorization.

8006920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4317 (or 4313 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 8006920 is about 2829.6501550545. The cubic root of 8006920 is about 200.0576500474.

It can be divided in two parts, 80069 and 20, that added together give a square (80089 = 283²).

The spelling of 8006920 in words is "eight million, six thousand, nine hundred twenty".