4006000 has 40 divisors (see below), whose sum is σ = 9691344. Its totient is φ = 1601600.

The previous prime is 4005983. The next prime is 4006001. The reversal of 4006000 is 6004.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4006001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 999 + ... + 3001.

Almost surely, 2^4006000 is an apocalyptic number.

4006000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4006000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4845672).

4006000 is an abundant number, since it is smaller than the sum of its proper divisors (5685344).

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

4006000 is a wasteful number, since it uses less digits than its factorization.

4006000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2026 (or 2010 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 4006000 is about 2001.4994379215. The cubic root of 4006000 is about 158.8194355974.

It can be divided in two parts, 400 and 6000, that added together give a square (6400 = 80²).

The spelling of 4006000 in words is "four million, six thousand", and thus it is an eban number.