12879648 has 60 divisors (see below), whose sum is σ = 37886310. Its totient is φ = 4292352.

The previous prime is 12879623. The next prime is 12879649. The reversal of 12879648 is 84697821.

It can be written as a sum of positive squares in only one way, i.e., 12194064 + 685584 = 3492^2 + 828^2 .

It is not an unprimeable number, because it can be changed into a prime (12879649) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 108 + ... + 5076.

Almost surely, 2^12879648 is an apocalyptic number.

12879648 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 12879648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18943155).

12879648 is an abundant number, since it is smaller than the sum of its proper divisors (25006662).

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

12879648 is an equidigital number, since it uses as much as digits as its factorization.

12879648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4991 (or 4974 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 12879648 is about 3588.8226481675. The cubic root of 12879648 is about 234.4056081626.

The spelling of 12879648 in words is "twelve million, eight hundred seventy-nine thousand, six hundred forty-eight".