9556560 has 120 divisors (see below), whose sum is σ = 34596744. Its totient is φ = 2350080.

The previous prime is 9556559. The next prime is 9556579. The reversal of 9556560 is 656559.

9556560 is a `hidden beast` number, since 95 + 5 + 6 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 266256 + 9290304 = 516^2 + 3048^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8850 + ... + 9870.

Almost surely, 2^9556560 is an apocalyptic number.

9556560 is a gapful number since it is divisible by the number (90) 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 9556560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17298372).

9556560 is an abundant number, since it is smaller than the sum of its proper divisors (25040184).

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

9556560 is a wasteful number, since it uses less digits than its factorization.

9556560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The square root of 9556560 is about 3091.3686289409. The cubic root of 9556560 is about 212.2106604245.

The spelling of 9556560 in words is "nine million, five hundred fifty-six thousand, five hundred sixty".