8200164 has 48 divisors (see below), whose sum is σ = 22409856. Its totient is φ = 2284800.

The previous prime is 8200147. The next prime is 8200177. The reversal of 8200164 is 4610028.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 8200164.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2254 + ... + 4634.

It is an arithmetic number, because the mean of its divisors is an integer number (466872).

Almost surely, 2^8200164 is an apocalyptic number.

8200164 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8200164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11204928).

8200164 is an abundant number, since it is smaller than the sum of its proper divisors (14209692).

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

8200164 is a wasteful number, since it uses less digits than its factorization.

8200164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2436 (or 2434 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 8200164 is about 2863.5928481542. The cubic root of 8200164 is about 201.6543118660.

The spelling of 8200164 in words is "eight million, two hundred thousand, one hundred sixty-four".