8035820 has 48 divisors (see below), whose sum is σ = 18778368. Its totient is φ = 2868480.

The previous prime is 8035799. The next prime is 8035823. The reversal of 8035820 is 285308.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 8035820.

It is not an unprimeable number, because it can be changed into a prime (8035823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7562 + ... + 8558.

It is an arithmetic number, because the mean of its divisors is an integer number (391216).

Almost surely, 2^8035820 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 8035820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9389184).

8035820 is an abundant number, since it is smaller than the sum of its proper divisors (10742548).

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

8035820 is a wasteful number, since it uses less digits than its factorization.

8035820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 8035820 is about 2834.7521937552. The cubic root of 8035820 is about 200.2980555937.

The spelling of 8035820 in words is "eight million, thirty-five thousand, eight hundred twenty".