4010820 has 96 divisors (see below), whose sum is σ = 12579840. Its totient is φ = 946560.

The previous prime is 4010819. The next prime is 4010833. The reversal of 4010820 is 280104.

4010820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 4010820.

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 31 ways as a sum of consecutive naturals, for example, 38889 + ... + 38991.

It is an arithmetic number, because the mean of its divisors is an integer number (131040).

Almost surely, 2^4010820 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 4010820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6289920).

4010820 is an abundant number, since it is smaller than the sum of its proper divisors (8569020).

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

4010820 is a wasteful number, since it uses less digits than its factorization.

4010820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 4010820 is about 2002.7031732136. The cubic root of 4010820 is about 158.8831069958.

Adding to 4010820 its reverse (280104), we get a palindrome (4290924).

The spelling of 4010820 in words is "four million, ten thousand, eight hundred twenty".