8023820 has 48 divisors (see below), whose sum is σ = 19790400. Its totient is φ = 2674944.

The previous prime is 8023819. The next prime is 8023831. The reversal of 8023820 is 283208.

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4406 + ... + 5954.

It is an arithmetic number, because the mean of its divisors is an integer number (412300).

Almost surely, 2^8023820 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 8023820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9895200).

8023820 is an abundant number, since it is smaller than the sum of its proper divisors (11766580).

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

8023820 is a wasteful number, since it uses less digits than its factorization.

8023820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1602 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 8023820 is about 2832.6348158561. The cubic root of 8023820 is about 200.1983033140.

The spelling of 8023820 in words is "eight million, twenty-three thousand, eight hundred twenty".