8165820 has 144 divisors (see below), whose sum is σ = 26883360. Its totient is φ = 1838592.

The previous prime is 8165813. The next prime is 8165867. The reversal of 8165820 is 285618.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 281566 + ... + 281594.

It is an arithmetic number, because the mean of its divisors is an integer number (186690).

Almost surely, 2^8165820 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 8165820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13441680).

8165820 is an abundant number, since it is smaller than the sum of its proper divisors (18717540).

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

8165820 is a wasteful number, since it uses less digits than its factorization.

8165820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 8165820 is about 2857.5898935991. The cubic root of 8165820 is about 201.3723944601.

The spelling of 8165820 in words is "eight million, one hundred sixty-five thousand, eight hundred twenty".