12967940 has 48 divisors (see below), whose sum is σ = 29538432. Its totient is φ = 4763136.

The previous prime is 12967891. The next prime is 12967949. The reversal of 12967940 is 4976921.

It is a junction number, because it is equal to n+sod(n) for n = 12967894 and 12967903.

It is not an unprimeable number, because it can be changed into a prime (12967949) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14177 + ... + 15063.

It is an arithmetic number, because the mean of its divisors is an integer number (615384).

Almost surely, 2^12967940 is an apocalyptic number.

12967940 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 12967940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14769216).

12967940 is an abundant number, since it is smaller than the sum of its proper divisors (16570492).

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

12967940 is a wasteful number, since it uses less digits than its factorization.

12967940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 38.

The square root of 12967940 is about 3601.1026089241. The cubic root of 12967940 is about 234.9400178888.

The spelling of 12967940 in words is "twelve million, nine hundred sixty-seven thousand, nine hundred forty".