12668480 has 112 divisors (see below), whose sum is σ = 34015680. Its totient is φ = 4454400.

The previous prime is 12668477. The next prime is 12668483. The reversal of 12668480 is 8486621.

It is an interprime number because it is at equal distance from previous prime (12668477) and next prime (12668483).

It is a self number, because there is not a number n which added to its sum of digits gives 12668480.

It is not an unprimeable number, because it can be changed into a prime (12668483) 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, 207650 + ... + 207710.

Almost surely, 2^12668480 is an apocalyptic number.

12668480 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 12668480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17007840).

12668480 is an abundant number, since it is smaller than the sum of its proper divisors (21347200).

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

12668480 is a wasteful number, since it uses less digits than its factorization.

12668480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 12668480 is about 3559.2808262344. The cubic root of 12668480 is about 233.1174783803.

The spelling of 12668480 in words is "twelve million, six hundred sixty-eight thousand, four hundred eighty".