13557808 has 60 divisors (see below), whose sum is σ = 29685600. Its totient is φ = 5991040.

The previous prime is 13557793. The next prime is 13557809. The reversal of 13557808 is 80875531.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (13557809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90918 + ... + 91066.

It is an arithmetic number, because the mean of its divisors is an integer number (494760).

Almost surely, 2^13557808 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 13557808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14842800).

13557808 is an abundant number, since it is smaller than the sum of its proper divisors (16127792).

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

13557808 is a wasteful number, since it uses less digits than its factorization.

13557808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 37.

The square root of 13557808 is about 3682.0928831305. The cubic root of 13557808 is about 238.4495422765.

It can be divided in two parts, 13557 and 808, that added together give a triangular number (14365 = T₁₆₉).

The spelling of 13557808 in words is "thirteen million, five hundred fifty-seven thousand, eight hundred eight".