40906 has 8 divisors (see below), whose sum is σ = 62244. Its totient is φ = 20160.

The previous prime is 40903. The next prime is 40927. The reversal of 40906 is 60904.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 25281 + 15625 = 159^2 + 125^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

40906 is an undulating number in base 15.

It is not an unprimeable number, because it can be changed into a prime (40903) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 136 + ... + 316.

2⁴⁰⁹⁰⁶ is an apocalyptic number.

40906 is a deficient number, since it is larger than the sum of its proper divisors (21338).

40906 is a wasteful number, since it uses less digits than its factorization.

40906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296.

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 40906 is about 202.2523176629. The cubic root of 40906 is about 34.4558000097.

It can be divided in two parts, 4090 and 6, that added together give a 12-th power (4096 = 2¹²).

The spelling of 40906 in words is "forty thousand, nine hundred six".