8648160 has 96 divisors (see below), whose sum is σ = 27941760. Its totient is φ = 2247168.

The previous prime is 8648149. The next prime is 8648179. The reversal of 8648160 is 618468.

8648160 is digitally balanced in base 2, because in such base 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 (96).

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, 20431 + ... + 20849.

It is an arithmetic number, because the mean of its divisors is an integer number (291060).

Almost surely, 2^8648160 is an apocalyptic number.

8648160 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 8648160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13970880).

8648160 is an abundant number, since it is smaller than the sum of its proper divisors (19293600).

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

8648160 is a wasteful number, since it uses less digits than its factorization.

8648160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 8648160 is about 2940.7754079494. The cubic root of 8648160 is about 205.2616923664.

The spelling of 8648160 in words is "eight million, six hundred forty-eight thousand, one hundred sixty".