10560480 has 144 divisors (see below), whose sum is σ = 38782800. Its totient is φ = 2408448.

The previous prime is 10560479. The next prime is 10560481. The reversal of 10560480 is 8406501.

It is an interprime number because it is at equal distance from previous prime (10560479) and next prime (10560481).

It is a super-2 number, since 2×10560480² = 223047475660800, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10560480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10560481) 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, 23296 + ... + 23744.

It is an arithmetic number, because the mean of its divisors is an integer number (269325).

Almost surely, 2^10560480 is an apocalyptic number.

10560480 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 10560480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19391400).

10560480 is an abundant number, since it is smaller than the sum of its proper divisors (28222320).

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

10560480 is a wasteful number, since it uses less digits than its factorization.

10560480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 10560480 is about 3249.6892159097. The cubic root of 10560480 is about 219.3955861721.

Adding to 10560480 its reverse (8406501), we get a palindrome (18966981).

It can be divided in two parts, 105 and 60480, that multiplied together give a square (6350400 = 2520²).

The spelling of 10560480 in words is "ten million, five hundred sixty thousand, four hundred eighty".