8084160 has 168 divisors, whose sum is σ = 31857696. Its totient is φ = 1843200.

The previous prime is 8084159. The next prime is 8084173. The reversal of 8084160 is 614808.

8084160 is digitally balanced in base 4 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19960 + ... + 20360.

Almost surely, 2^8084160 is an apocalyptic number.

8084160 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 8084160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15928848).

8084160 is an abundant number, since it is smaller than the sum of its proper divisors (23773536).

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

8084160 is a wasteful number, since it uses less digits than its factorization.

8084160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 8084160 is about 2843.2657279966. The cubic root of 8084160 is about 200.6988882646.

Adding to 8084160 its reverse (614808), we get a palindrome (8698968).

The spelling of 8084160 in words is "eight million, eighty-four thousand, one hundred sixty".