13855408 has 80 divisors (see below), whose sum is σ = 34283520. Its totient is φ = 5280768.

The previous prime is 13855403. The next prime is 13855409. The reversal of 13855408 is 80455831.

13855408 is digitally balanced in base 2, because in such base 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 (34).

It is not an unprimeable number, because it can be changed into a prime (13855403) 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, 35985 + ... + 36367.

It is an arithmetic number, because the mean of its divisors is an integer number (428544).

Almost surely, 2^13855408 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 13855408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17141760).

13855408 is an abundant number, since it is smaller than the sum of its proper divisors (20428112).

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

13855408 is a wasteful number, since it uses less digits than its factorization.

13855408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 34.

The square root of 13855408 is about 3722.2853195315. The cubic root of 13855408 is about 240.1816217810.

The spelling of 13855408 in words is "thirteen million, eight hundred fifty-five thousand, four hundred eight".