13408668 has 72 divisors (see below), whose sum is σ = 41726048. Its totient is φ = 3535488.

The previous prime is 13408639. The next prime is 13408669. The reversal of 13408668 is 86680431.

It is a happy number.

13408668 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13408669) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1230 + ... + 5322.

Almost surely, 2^13408668 is an apocalyptic number.

13408668 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 13408668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20863024).

13408668 is an abundant number, since it is smaller than the sum of its proper divisors (28317380).

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

13408668 is a wasteful number, since it uses less digits than its factorization.

13408668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4123 (or 4118 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 13408668 is about 3661.7848107173. The cubic root of 13408668 is about 237.5719774454.

The spelling of 13408668 in words is "thirteen million, four hundred eight thousand, six hundred sixty-eight".