8291120 has 40 divisors (see below), whose sum is σ = 19604400. Its totient is φ = 3260160.

The previous prime is 8291117. The next prime is 8291159. The reversal of 8291120 is 211928.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4031 + ... + 5729.

It is an arithmetic number, because the mean of its divisors is an integer number (490110).

Almost surely, 2^8291120 is an apocalyptic number.

8291120 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 8291120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9802200).

8291120 is an abundant number, since it is smaller than the sum of its proper divisors (11313280).

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

8291120 is a wasteful number, since it uses less digits than its factorization.

8291120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1773 (or 1767 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

The square root of 8291120 is about 2879.4304992481. The cubic root of 8291120 is about 202.3971534853.

The spelling of 8291120 in words is "eight million, two hundred ninety-one thousand, one hundred twenty".