8021120 has 64 divisors (see below), whose sum is σ = 19535040. Its totient is φ = 3148800.

The previous prime is 8021113. The next prime is 8021129. The reversal of 8021120 is 211208.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 8021095 and 8021104.

It is not an unprimeable number, because it can be changed into a prime (8021129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53045 + ... + 53195.

It is an arithmetic number, because the mean of its divisors is an integer number (305235).

Almost surely, 2^8021120 is an apocalyptic number.

8021120 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 8021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9767520).

8021120 is an abundant number, since it is smaller than the sum of its proper divisors (11513920).

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

8021120 is a wasteful number, since it uses less digits than its factorization.

8021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 8021120 is about 2832.1581876724. The cubic root of 8021120 is about 200.1758453468.

Adding to 8021120 its reverse (211208), we get a palindrome (8232328).

The spelling of 8021120 in words is "eight million, twenty-one thousand, one hundred twenty".