8956160 has 36 divisors (see below), whose sum is σ = 21455868. Its totient is φ = 3581952.

The previous prime is 8956147. The next prime is 8956217. The reversal of 8956160 is 616598.

It can be written as a sum of positive squares in 2 ways, for example, as 3041536 + 5914624 = 1744^2 + 2432^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 8956160.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2219 + ... + 4778.

Almost surely, 2^8956160 is an apocalyptic number.

8956160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8956160 is an abundant number, since it is smaller than the sum of its proper divisors (12499708).

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

8956160 is an equidigital number, since it uses as much as digits as its factorization.

8956160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7018 (or 7004 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 8956160 is about 2992.6844136995. The cubic root of 8956160 is about 207.6700884394.

The spelling of 8956160 in words is "eight million, nine hundred fifty-six thousand, one hundred sixty".