4032820 has 48 divisors (see below), whose sum is σ = 9652608. Its totient is φ = 1400960.

The previous prime is 4032811. The next prime is 4032839. The reversal of 4032820 is 282304.

It is a happy number.

4032820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 4662 + ... + 5458.

It is an arithmetic number, because the mean of its divisors is an integer number (201096).

Almost surely, 2^4032820 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 4032820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4826304).

4032820 is an abundant number, since it is smaller than the sum of its proper divisors (5619788).

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

4032820 is a wasteful number, since it uses less digits than its factorization.

4032820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 4032820 is about 2008.1882381888. The cubic root of 4032820 is about 159.1730773560.

It can be divided in two parts, 403 and 2820, that added together give a palindrome (3223).

The spelling of 4032820 in words is "four million, thirty-two thousand, eight hundred twenty".