8219160 has 144 divisors (see below), whose sum is σ = 28735200. Its totient is φ = 2036736.

The previous prime is 8219137. The next prime is 8219171. The reversal of 8219160 is 619128.

It is a super-2 number, since 2×8219160² = 135109182211200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 104001 + ... + 104079.

It is an arithmetic number, because the mean of its divisors is an integer number (199550).

Almost surely, 2^8219160 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 8219160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14367600).

8219160 is an abundant number, since it is smaller than the sum of its proper divisors (20516040).

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

8219160 is a wasteful number, since it uses less digits than its factorization.

8219160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 106 counting only the distinct ones).

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

The square root of 8219160 is about 2866.9077418013. The cubic root of 8219160 is about 201.8099051435.

The spelling of 8219160 in words is "eight million, two hundred nineteen thousand, one hundred sixty".