4005820 has 96 divisors (see below), whose sum is σ = 10838016. Its totient is φ = 1209600.

The previous prime is 4005817. The next prime is 4005821. The reversal of 4005820 is 285004.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4005821) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56385 + ... + 56455.

It is an arithmetic number, because the mean of its divisors is an integer number (112896).

Almost surely, 2^4005820 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 4005820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5419008).

4005820 is an abundant number, since it is smaller than the sum of its proper divisors (6832196).

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

4005820 is a wasteful number, since it uses less digits than its factorization.

4005820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 4005820 is about 2001.4544711284. The cubic root of 4005820 is about 158.8170568384.

The spelling of 4005820 in words is "four million, five thousand, eight hundred twenty".