8646560 has 48 divisors (see below), whose sum is σ = 22004136. Its totient is φ = 3191808.

The previous prime is 8646559. The next prime is 8646571. The reversal of 8646560 is 656468.

8646560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5216656 + 3429904 = 2284^2 + 1852^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 8646560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2 + ... + 4158.

Almost surely, 2^8646560 is an apocalyptic number.

8646560 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 8646560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11002068).

8646560 is an abundant number, since it is smaller than the sum of its proper divisors (13357576).

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

8646560 is a wasteful number, since it uses less digits than its factorization.

With its successor (8646561) it forms an eRAP, since the sums of their prime factors are consecutive (4185 and 4186).

8646560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4185 (or 4177 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 8646560 is about 2940.5033582705. The cubic root of 8646560 is about 205.2490330661.

The spelling of 8646560 in words is "eight million, six hundred forty-six thousand, five hundred sixty".