8001120 has 96 divisors (see below), whose sum is σ = 25643520. Its totient is φ = 2096640.

The previous prime is 8001107. The next prime is 8001157. The reversal of 8001120 is 211008.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 8001096 and 8001105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37815 + ... + 38025.

It is an arithmetic number, because the mean of its divisors is an integer number (267120).

Almost surely, 2^8001120 is an apocalyptic number.

8001120 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 8001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12821760).

8001120 is an abundant number, since it is smaller than the sum of its proper divisors (17642400).

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

8001120 is a wasteful number, since it uses less digits than its factorization.

8001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 8001120 is about 2828.6251077158. The cubic root of 8001120 is about 200.0093328978.

Adding to 8001120 its reverse (211008), we get a palindrome (8212128).

The spelling of 8001120 in words is "eight million, one thousand, one hundred twenty".