12540416 has 40 divisors (see below), whose sum is σ = 28644000. Its totient is φ = 5372928.

The previous prime is 12540413. The next prime is 12540419. The reversal of 12540416 is 61404521.

It is an interprime number because it is at equal distance from previous prime (12540413) and next prime (12540419).

It is a junction number, because it is equal to n+sod(n) for n = 12540391 and 12540400.

It is not an unprimeable number, because it can be changed into a prime (12540413) 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 3 ways as a sum of consecutive naturals, for example, 1835 + ... + 5333.

It is an arithmetic number, because the mean of its divisors is an integer number (716100).

Almost surely, 2^12540416 is an apocalyptic number.

12540416 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 12540416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14322000).

12540416 is an abundant number, since it is smaller than the sum of its proper divisors (16103584).

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

12540416 is an frugal number, since it uses more digits than its factorization.

12540416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3524 (or 3508 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 12540416 is about 3541.2449788175. The cubic root of 12540416 is about 232.3292985272.

Adding to 12540416 its reverse (61404521), we get a palindrome (73944937).

The spelling of 12540416 in words is "twelve million, five hundred forty thousand, four hundred sixteen".