12540968 has 64 divisors (see below), whose sum is σ = 27760320. Its totient is φ = 5248000.

The previous prime is 12540967. The next prime is 12540973. The reversal of 12540968 is 86904521.

It is not an unprimeable number, because it can be changed into a prime (12540961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124118 + ... + 124218.

It is an arithmetic number, because the mean of its divisors is an integer number (433755).

Almost surely, 2^12540968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12540968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13880160).

12540968 is an abundant number, since it is smaller than the sum of its proper divisors (15219352).

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

12540968 is a wasteful number, since it uses less digits than its factorization.

12540968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 12540968 is about 3541.3229166513. The cubic root of 12540968 is about 232.3327073426.

The spelling of 12540968 in words is "twelve million, five hundred forty thousand, nine hundred sixty-eight".