10581440 has 56 divisors (see below), whose sum is σ = 25816560. Its totient is φ = 4128768.

The previous prime is 10581437. The next prime is 10581443. The reversal of 10581440 is 4418501.

It is an interprime number because it is at equal distance from previous prime (10581437) and next prime (10581443).

It is a super-2 number, since 2×10581440² = 223933744947200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10581443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13376 + ... + 14144.

It is an arithmetic number, because the mean of its divisors is an integer number (461010).

Almost surely, 2^10581440 is an apocalyptic number.

10581440 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 10581440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12908280).

10581440 is an abundant number, since it is smaller than the sum of its proper divisors (15235120).

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

10581440 is an equidigital number, since it uses as much as digits as its factorization.

10581440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 10581440 is about 3252.9125410930. The cubic root of 10581440 is about 219.5406393172.

Adding to 10581440 its reverse (4418501), we get a palindrome (14999941).

The spelling of 10581440 in words is "ten million, five hundred eighty-one thousand, four hundred forty".