8319120 has 80 divisors (see below), whose sum is σ = 27319680. Its totient is φ = 2086912.

The previous prime is 8319109. The next prime is 8319121. The reversal of 8319120 is 219138.

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 (24).

It is not an unprimeable number, because it can be changed into a prime (8319121) 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, 3061 + ... + 5099.

It is an arithmetic number, because the mean of its divisors is an integer number (341496).

Almost surely, 2^8319120 is an apocalyptic number.

8319120 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 8319120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13659840).

8319120 is an abundant number, since it is smaller than the sum of its proper divisors (19000560).

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

8319120 is a wasteful number, since it uses less digits than its factorization.

8319120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2072 (or 2066 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 8319120 is about 2884.2884737834. The cubic root of 8319120 is about 202.6247364394.

The spelling of 8319120 in words is "eight million, three hundred nineteen thousand, one hundred twenty".