10561560 has 64 divisors (see below), whose sum is σ = 31898880. Its totient is φ = 2797440.

The previous prime is 10561543. The next prime is 10561561. The reversal of 10561560 is 6516501.

It is a super-2 number, since 2×10561560² = 223093099267200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 10561560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10561561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33805 + ... + 34115.

It is an arithmetic number, because the mean of its divisors is an integer number (498420).

Almost surely, 2^10561560 is an apocalyptic number.

10561560 is a gapful number since it is divisible by the number (10) 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 10561560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15949440).

10561560 is an abundant number, since it is smaller than the sum of its proper divisors (21337320).

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

10561560 is a wasteful number, since it uses less digits than its factorization.

10561560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 10561560 is about 3249.8553813978. The cubic root of 10561560 is about 219.4030649722.

The spelling of 10561560 in words is "ten million, five hundred sixty-one thousand, five hundred sixty".