40002006 has 16 divisors (see below), whose sum is σ = 87277248. Its totient is φ = 12121800.

The previous prime is 40001999. The next prime is 40002023. The reversal of 40002006 is 60020004.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 40001982 and 40002000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 302980 + ... + 303111.

It is an arithmetic number, because the mean of its divisors is an integer number (5454828).

Almost surely, 2^40002006 is an apocalyptic number.

40002006 is an abundant number, since it is smaller than the sum of its proper divisors (47275242).

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

40002006 is a wasteful number, since it uses less digits than its factorization.

40002006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606107.

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 40002006 is about 6324.7139065732. The cubic root of 40002006 is about 342.0009062594. Note that the first 3 decimals are identical.

It can be divided in two parts, 4000200 and 6, that added together give a triangular number (4000206 = T₂₈₂₈).

The spelling of 40002006 in words is "forty million, two thousand, six", and thus it is an eban number.