848160 has 144 divisors (see below), whose sum is σ = 3144960. Its totient is φ = 207360.

The previous prime is 848149. The next prime is 848173. The reversal of 848160 is 61848.

It is a tau number, because it is divible by the number of its divisors (144).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 848160.

It is an unprimeable number.

848160 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27345 + ... + 27375.

It is an arithmetic number, because the mean of its divisors is an integer number (21840).

2⁸⁴⁸¹⁶⁰ is an apocalyptic number.

848160 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 848160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572480).

848160 is an abundant number, since it is smaller than the sum of its proper divisors (2296800).

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

848160 is a wasteful number, since it uses less digits than its factorization.

848160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 60 counting only the distinct ones).

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

The square root of 848160 is about 920.9560250088. The cubic root of 848160 is about 94.6584224344.

The spelling of 848160 in words is "eight hundred forty-eight thousand, one hundred sixty".