10580416 has 112 divisors (see below), whose sum is σ = 27797760. Its totient is φ = 3870720.

The previous prime is 10580413. The next prime is 10580429. The reversal of 10580416 is 61408501.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×10580416² = 223890405466112, which contains 22 as substring.

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10580413) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93576 + ... + 93688.

Almost surely, 2^10580416 is an apocalyptic number.

10580416 is a gapful number since it is divisible by the number (16) 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 10580416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13898880).

10580416 is an abundant number, since it is smaller than the sum of its proper divisors (17217344).

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

10580416 is a wasteful number, since it uses less digits than its factorization.

10580416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 10580416 is about 3252.7551398776. The cubic root of 10580416 is about 219.5335572040.

Adding to 10580416 its reverse (61408501), we get a palindrome (71988917).

The spelling of 10580416 in words is "ten million, five hundred eighty thousand, four hundred sixteen".