8331120 has 320 divisors, whose sum is σ = 35712000. Its totient is φ = 1741824.

The previous prime is 8331097. The next prime is 8331131. The reversal of 8331120 is 211338.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 8331093 and 8331102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 287266 + ... + 287294.

It is an arithmetic number, because the mean of its divisors is an integer number (111600).

Almost surely, 2^8331120 is an apocalyptic number.

8331120 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 8331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17856000).

8331120 is an abundant number, since it is smaller than the sum of its proper divisors (27380880).

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

8331120 is a wasteful number, since it uses less digits than its factorization.

8331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 8331120 is about 2886.3679599109. The cubic root of 8331120 is about 202.7221156759.

Adding to 8331120 its reverse (211338), we get a palindrome (8542458).

It can be divided in two parts, 833 and 1120, that added together give a triangular number (1953 = T₆₂).

The spelling of 8331120 in words is "eight million, three hundred thirty-one thousand, one hundred twenty".