8129160 has 160 divisors (see below), whose sum is σ = 29577240. Its totient is φ = 1990656.

The previous prime is 8129153. The next prime is 8129183. The reversal of 8129160 is 619218.

It can be written as a sum of positive squares in 4 ways, for example, as 3992004 + 4137156 = 1998^2 + 2034^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 42024 + ... + 42216.

Almost surely, 2^8129160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8129160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14788620).

8129160 is an abundant number, since it is smaller than the sum of its proper divisors (21448080).

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

8129160 is a wasteful number, since it uses less digits than its factorization.

8129160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 8129160 is about 2851.1681816406. The cubic root of 8129160 is about 201.0705922687.

It can be divided in two parts, 81 and 29160, that added together give a square (29241 = 171²).

The spelling of 8129160 in words is "eight million, one hundred twenty-nine thousand, one hundred sixty".