12948964 has 48 divisors (see below), whose sum is σ = 27578880. Its totient is φ = 5201280.

The previous prime is 12948961. The next prime is 12948967. The reversal of 12948964 is 46984921.

12948964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12948961) and next prime (12948967).

It is a self number, because there is not a number n which added to its sum of digits gives 12948964.

It is not an unprimeable number, because it can be changed into a prime (12948961) 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, 29829 + ... + 30259.

It is an arithmetic number, because the mean of its divisors is an integer number (574560).

Almost surely, 2^12948964 is an apocalyptic number.

12948964 is a gapful number since it is divisible by the number (14) 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 12948964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13789440).

12948964 is an abundant number, since it is smaller than the sum of its proper divisors (14629916).

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

12948964 is a wasteful number, since it uses less digits than its factorization.

12948964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 506 counting only the distinct ones).

The product of its digits is 124416, while the sum is 43.

The square root of 12948964 is about 3598.4668957766. The cubic root of 12948964 is about 234.8253659569.

The spelling of 12948964 in words is "twelve million, nine hundred forty-eight thousand, nine hundred sixty-four".