12956760 has 192 divisors, whose sum is σ = 46126080. Its totient is φ = 3265920.

The previous prime is 12956759. The next prime is 12956761. The reversal of 12956760 is 6765921.

It is an interprime number because it is at equal distance from previous prime (12956759) and next prime (12956761).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12956761) 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 47 ways as a sum of consecutive naturals, for example, 301299 + ... + 301341.

It is an arithmetic number, because the mean of its divisors is an integer number (240240).

Almost surely, 2^12956760 is an apocalyptic number.

12956760 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 12956760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23063040).

12956760 is an abundant number, since it is smaller than the sum of its proper divisors (33169320).

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

12956760 is a wasteful number, since it uses less digits than its factorization.

12956760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 12956760 is about 3599.5499718715. The cubic root of 12956760 is about 234.8724825005.

The spelling of 12956760 in words is "twelve million, nine hundred fifty-six thousand, seven hundred sixty".