8656560 has 120 divisors (see below), whose sum is σ = 31743504. Its totient is φ = 2096640.

The previous prime is 8656547. The next prime is 8656561. The reversal of 8656560 is 656568.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8656561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7374 + ... + 8466.

Almost surely, 2^8656560 is an apocalyptic number.

8656560 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 8656560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15871752).

8656560 is an abundant number, since it is smaller than the sum of its proper divisors (23086944).

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

8656560 is a wasteful number, since it uses less digits than its factorization.

8656560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 8656560 is about 2942.2032560651. The cubic root of 8656560 is about 205.3281280890.

It can be divided in two parts, 8656 and 560, that added together give a square (9216 = 96²).

The spelling of 8656560 in words is "eight million, six hundred fifty-six thousand, five hundred sixty".