8004160 has 28 divisors (see below), whose sum is σ = 19060668. Its totient is φ = 3201536.

The previous prime is 8004151. The next prime is 8004163. The reversal of 8004160 is 614008.

It can be written as a sum of positive squares in 2 ways, for example, as 6110784 + 1893376 = 2472^2 + 1376^2 .

It is not an unprimeable number, because it can be changed into a prime (8004163) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12187 + ... + 12826.

Almost surely, 2^8004160 is an apocalyptic number.

8004160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8004160 is an abundant number, since it is smaller than the sum of its proper divisors (11056508).

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

8004160 is a wasteful number, since it uses less digits than its factorization.

8004160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25030 (or 25020 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 8004160 is about 2829.1624202226. The cubic root of 8004160 is about 200.0346606595.

Adding to 8004160 its reverse (614008), we get a palindrome (8618168).

The spelling of 8004160 in words is "eight million, four thousand, one hundred sixty".