10580256 has 72 divisors (see below), whose sum is σ = 31872204. Its totient is φ = 3317760.

The previous prime is 10580249. The next prime is 10580257. The reversal of 10580256 is 65208501.

It can be written as a sum of positive squares in 2 ways, for example, as 10112400 + 467856 = 3180^2 + 684^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×10580256² = 223883634051072, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10580257) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3816 + ... + 5976.

Almost surely, 2^10580256 is an apocalyptic number.

10580256 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 10580256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15936102).

10580256 is an abundant number, since it is smaller than the sum of its proper divisors (21291948).

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

10580256 is a wasteful number, since it uses less digits than its factorization.

10580256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2194 (or 2183 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 10580256 is about 3252.7305452496. The cubic root of 10580256 is about 219.5324505825.

Adding to 10580256 its reverse (65208501), we get a palindrome (75788757).

The spelling of 10580256 in words is "ten million, five hundred eighty thousand, two hundred fifty-six".