10580480 has 40 divisors (see below), whose sum is σ = 25374492. Its totient is φ = 4231168.

The previous prime is 10580467. The next prime is 10580489. The reversal of 10580480 is 8408501.

It can be written as a sum of positive squares in 2 ways, for example, as 10549504 + 30976 = 3248^2 + 176^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×10580480² = 223893114060800, which contains 22 as substring.

It is a zygodrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (10580489) 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 3 ways as a sum of consecutive naturals, for example, 494 + ... + 4626.

Almost surely, 2^10580480 is an apocalyptic number.

10580480 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 10580480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12687246).

10580480 is an abundant number, since it is smaller than the sum of its proper divisors (14794012).

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

10580480 is an frugal number, since it uses more digits than its factorization.

10580480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4156 (or 4140 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

The square root of 10580480 is about 3252.7649776767. The cubic root of 10580480 is about 219.5339998495.

Adding to 10580480 its reverse (8408501), we get a palindrome (18988981).

The spelling of 10580480 in words is "ten million, five hundred eighty thousand, four hundred eighty".