12955968 has 84 divisors (see below), whose sum is σ = 37722048. Its totient is φ = 4250880.

The previous prime is 12955963. The next prime is 12955993. The reversal of 12955968 is 86955921.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12955961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47673 + ... + 47943.

It is an arithmetic number, because the mean of its divisors is an integer number (449072).

Almost surely, 2^12955968 is an apocalyptic number.

12955968 is a gapful number since it is divisible by the number (18) 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 12955968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18861024).

12955968 is an abundant number, since it is smaller than the sum of its proper divisors (24766080).

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

12955968 is a wasteful number, since it uses less digits than its factorization.

12955968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 359 counting only the distinct ones).

The product of its digits is 194400, while the sum is 45.

The square root of 12955968 is about 3599.4399564377. The cubic root of 12955968 is about 234.8676967671.

The spelling of 12955968 in words is "twelve million, nine hundred fifty-five thousand, nine hundred sixty-eight".