8006040959 has 24 divisors (see below), whose sum is σ = 9603929088. Its totient is φ = 6650910000.

The previous prime is 8006040949. The next prime is 8006040961. The reversal of 8006040959 is 9590406008.

It is not a de Polignac number, because 8006040959 - 2¹⁶ = 8005975423 is a prime.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8006040919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 220334 + ... + 254084.

It is an arithmetic number, because the mean of its divisors is an integer number (400163712).

Almost surely, 2^8006040959 is an apocalyptic number.

8006040959 is a deficient number, since it is larger than the sum of its proper divisors (1597888129).

8006040959 is a wasteful number, since it uses less digits than its factorization.

8006040959 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33915 (or 33908 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 41.

The square root of 8006040959 is about 89476.4827147335. The cubic root of 8006040959 is about 2000.5032865907.

The spelling of 8006040959 in words is "eight billion, six million, forty thousand, nine hundred fifty-nine".