8004120 has 32 divisors (see below), whose sum is σ = 24012720. Its totient is φ = 2134400.

The previous prime is 8004119. The next prime is 8004121. The reversal of 8004120 is 214008.

It is an interprime number because it is at equal distance from previous prime (8004119) and next prime (8004121).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 8004120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8004121) 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, 33231 + ... + 33470.

Almost surely, 2^8004120 is an apocalyptic number.

It is an amenable number.

8004120 is an abundant number, since it is smaller than the sum of its proper divisors (16008600).

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

8004120 is a wasteful number, since it uses less digits than its factorization.

8004120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66715 (or 66711 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 8004120 is about 2829.1553509838. The cubic root of 8004120 is about 200.0343274411.

Adding to 8004120 its reverse (214008), we get a palindrome (8218128).

The spelling of 8004120 in words is "eight million, four thousand, one hundred twenty".