10406560 has 48 divisors (see below), whose sum is σ = 24786216. Its totient is φ = 4128768.

The previous prime is 10406537. The next prime is 10406569. The reversal of 10406560 is 6560401.

It can be written as a sum of positive squares in 4 ways, for example, as 5895184 + 4511376 = 2428^2 + 2124^2 .

It is not an unprimeable number, because it can be changed into a prime (10406569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30712 + ... + 31048.

Almost surely, 2^10406560 is an apocalyptic number.

10406560 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 10406560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12393108).

10406560 is an abundant number, since it is smaller than the sum of its proper divisors (14379656).

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

10406560 is a wasteful number, since it uses less digits than its factorization.

10406560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 10406560 is about 3225.9200238072. The cubic root of 10406560 is about 218.3244614359.

Adding to 10406560 its reverse (6560401), we get a palindrome (16966961).

The spelling of 10406560 in words is "ten million, four hundred six thousand, five hundred sixty".