40806 has 12 divisors (see below), whose sum is σ = 88452. Its totient is φ = 13596.

The previous prime is 40801. The next prime is 40813. The reversal of 40806 is 60804.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 2267 = 40806 / (4 + 0 + 8 + 0 + 6).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 40806.

It is not an unprimeable number, because it can be changed into a prime (40801) by changing a digit.

40806 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1116 + ... + 1151.

It is an arithmetic number, because the mean of its divisors is an integer number (7371).

2⁴⁰⁸⁰⁶ is an apocalyptic number.

40806 is an abundant number, since it is smaller than the sum of its proper divisors (47646).

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

40806 is a wasteful number, since it uses less digits than its factorization.

40806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2275 (or 2272 counting only the distinct ones).

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

The square root of 40806 is about 202.0049504344. The cubic root of 40806 is about 34.4276998814.

The spelling of 40806 in words is "forty thousand, eight hundred six".