13682808 has 48 divisors (see below), whose sum is σ = 37697400. Its totient is φ = 4482240.

The previous prime is 13682797. The next prime is 13682813. The reversal of 13682808 is 80828631.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2638 + ... + 5858.

Almost surely, 2^13682808 is an apocalyptic number.

13682808 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 13682808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18848700).

13682808 is an abundant number, since it is smaller than the sum of its proper divisors (24014592).

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

13682808 is a wasteful number, since it uses less digits than its factorization.

13682808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3292 (or 3285 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 13682808 is about 3699.0279804295. The cubic root of 13682808 is about 239.1801190025.

It can be divided in two parts, 136 and 82808, that added together give a square (82944 = 288²).

The spelling of 13682808 in words is "thirteen million, six hundred eighty-two thousand, eight hundred eight".