8006940 has 36 divisors (see below), whose sum is σ = 24288264. Its totient is φ = 2135136.

The previous prime is 8006939. The next prime is 8006941. The reversal of 8006940 is 496008.

8006940 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (8006939) and next prime (8006941).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×8006940² = 128222176327200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8006941) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22062 + ... + 22421.

It is an arithmetic number, because the mean of its divisors is an integer number (674674).

Almost surely, 2^8006940 is an apocalyptic number.

It is an amenable number.

8006940 is an abundant number, since it is smaller than the sum of its proper divisors (16281324).

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

8006940 is a wasteful number, since it uses less digits than its factorization.

8006940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44498 (or 44493 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 8006940 is about 2829.6536890581. The cubic root of 8006940 is about 200.0578166179.

The spelling of 8006940 in words is "eight million, six thousand, nine hundred forty".