8678160 has 120 divisors (see below), whose sum is σ = 30902040. Its totient is φ = 2174976.

The previous prime is 8678149. The next prime is 8678161. The reversal of 8678160 is 618768.

It can be written as a sum of positive squares in 4 ways, for example, as 589824 + 8088336 = 768^2 + 2844^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8678161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11886 + ... + 12594.

It is an arithmetic number, because the mean of its divisors is an integer number (257517).

Almost surely, 2^8678160 is an apocalyptic number.

8678160 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 8678160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15451020).

8678160 is an abundant number, since it is smaller than the sum of its proper divisors (22223880).

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

8678160 is a wasteful number, since it uses less digits than its factorization.

8678160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 8678160 is about 2945.8716876334. The cubic root of 8678160 is about 205.4987656878.

The spelling of 8678160 in words is "eight million, six hundred seventy-eight thousand, one hundred sixty".