8199120 has 80 divisors (see below), whose sum is σ = 25712640. Its totient is φ = 2161152.

The previous prime is 8199101. The next prime is 8199133. The reversal of 8199120 is 219918.

It is a tau number, because it is divible by the number of its divisors (80).

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 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, 30346 + ... + 30614.

It is an arithmetic number, because the mean of its divisors is an integer number (321408).

Almost surely, 2^8199120 is an apocalyptic number.

8199120 is a gapful number since it is divisible by the number (80) 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 8199120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12856320).

8199120 is an abundant number, since it is smaller than the sum of its proper divisors (17513520).

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

8199120 is a wasteful number, since it uses less digits than its factorization.

8199120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 30.

The square root of 8199120 is about 2863.4105538675. The cubic root of 8199120 is about 201.6457536617.

The spelling of 8199120 in words is "eight million, one hundred ninety-nine thousand, one hundred twenty".