12729960 has 80 divisors (see below), whose sum is σ = 42797700. Its totient is φ = 3393792.

The previous prime is 12729949. The next prime is 12729973. The reversal of 12729960 is 6992721.

It can be written as a sum of positive squares in 2 ways, for example, as 11819844 + 910116 = 3438^2 + 954^2 .

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

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 1276 + ... + 5204.

Almost surely, 2^12729960 is an apocalyptic number.

12729960 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 12729960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21398850).

12729960 is an abundant number, since it is smaller than the sum of its proper divisors (30067740).

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

12729960 is a wasteful number, since it uses less digits than its factorization.

12729960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3952 (or 3939 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 12729960 is about 3567.9069494593. The cubic root of 12729960 is about 233.4939755456.

It can be divided in two parts, 12729 and 960, that added together give a square (13689 = 117²).

The spelling of 12729960 in words is "twelve million, seven hundred twenty-nine thousand, nine hundred sixty".