13580868 has 48 divisors (see below), whose sum is σ = 36578304. Its totient is φ = 3841440.

The previous prime is 13580783. The next prime is 13580869. The reversal of 13580868 is 86808531.

It is a happy number.

13580868 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 (13580869) 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, 8233 + ... + 9743.

It is an arithmetic number, because the mean of its divisors is an integer number (762048).

Almost surely, 2^13580868 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13580868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18289152).

13580868 is an abundant number, since it is smaller than the sum of its proper divisors (22997436).

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

13580868 is a wasteful number, since it uses less digits than its factorization.

13580868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1632 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 13580868 is about 3685.2229240576. Note that the first 3 decimals coincide. The cubic root of 13580868 is about 238.5846558559.

It can be divided in two parts, 135 and 80868, that added together give a triangular number (81003 = T₄₀₂).

The spelling of 13580868 in words is "thirteen million, five hundred eighty thousand, eight hundred sixty-eight".