8516160 has 84 divisors (see below), whose sum is σ = 29301948. Its totient is φ = 2270208.

The previous prime is 8516159. The next prime is 8516173. The reversal of 8516160 is 616158.

It can be written as a sum of positive squares in 2 ways, for example, as 2286144 + 6230016 = 1512^2 + 2496^2 .

It is a super-2 number, since 2×8516160² = 145049962291200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1402 + ... + 4358.

Almost surely, 2^8516160 is an apocalyptic number.

8516160 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 8516160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14650974).

8516160 is an abundant number, since it is smaller than the sum of its proper divisors (20785788).

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

8516160 is a wasteful number, since it uses less digits than its factorization.

8516160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2980 (or 2967 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 8516160 is about 2918.2460485710. The cubic root of 8516160 is about 204.2120056651.

The spelling of 8516160 in words is "eight million, five hundred sixteen thousand, one hundred sixty".