4000984 has 64 divisors (see below), whose sum is σ = 8951040. Its totient is φ = 1658880.

The previous prime is 4000979. The next prime is 4000987. The reversal of 4000984 is 4890004.

4000984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

4000984 is a modest number, since divided by 984 gives 40 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54772 + ... + 54844.

It is an arithmetic number, because the mean of its divisors is an integer number (139860).

Almost surely, 2^4000984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4000984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4475520).

4000984 is an abundant number, since it is smaller than the sum of its proper divisors (4950056).

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

4000984 is a wasteful number, since it uses less digits than its factorization.

4000984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 4000984 is about 2000.2459848729. The cubic root of 4000984 is about 158.7531208182.

Adding to 4000984 its reverse (4890004), we get a palindrome (8890988).

The spelling of 4000984 in words is "four million, nine hundred eighty-four", and thus it is an aban number.