13268680 has 32 divisors (see below), whose sum is σ = 30306240. Its totient is φ = 5227200.

The previous prime is 13268663. The next prime is 13268683. The reversal of 13268680 is 8686231.

13268680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13268683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 205 + ... + 5155.

It is an arithmetic number, because the mean of its divisors is an integer number (947070).

Almost surely, 2^13268680 is an apocalyptic number.

13268680 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 13268680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15153120).

13268680 is an abundant number, since it is smaller than the sum of its proper divisors (17037560).

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

13268680 is a wasteful number, since it uses less digits than its factorization.

13268680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5029 (or 5025 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 13268680 is about 3642.6199362547. The cubic root of 13268680 is about 236.7423241108.

The spelling of 13268680 in words is "thirteen million, two hundred sixty-eight thousand, six hundred eighty".