8008120 has 64 divisors (see below), whose sum is σ = 19504800. Its totient is φ = 2949120.

The previous prime is 8008109. The next prime is 8008123. The reversal of 8008120 is 218008.

It is a happy number.

8008120 is nontrivially palindromic in base 9.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8008123) 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, 31032 + ... + 31288.

Almost surely, 2^8008120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8008120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9752400).

8008120 is an abundant number, since it is smaller than the sum of its proper divisors (11496680).

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

8008120 is a wasteful number, since it uses less digits than its factorization.

8008120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 8008120 is about 2829.8621874572. The cubic root of 8008120 is about 200.0676437857.

It can be divided in two parts, 8008 and 120, that added together give a triangular number (8128 = T₁₂₇).

The spelling of 8008120 in words is "eight million, eight thousand, one hundred twenty".