8006040 has 160 divisors (see below), whose sum is σ = 30840480. Its totient is φ = 1824768.

The previous prime is 8006039. The next prime is 8006057. The reversal of 8006040 is 406008.

8006040 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

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 39 ways as a sum of consecutive naturals, for example, 22504 + ... + 22856.

It is an arithmetic number, because the mean of its divisors is an integer number (192753).

Almost surely, 2^8006040 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 8006040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15420240).

8006040 is an abundant number, since it is smaller than the sum of its proper divisors (22834440).

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

8006040 is a wasteful number, since it uses less digits than its factorization.

8006040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 8006040 is about 2829.4946545276. The cubic root of 8006040 is about 200.0503206714.

The spelling of 8006040 in words is "eight million, six thousand, forty".