13813600 has 72 divisors (see below), whose sum is σ = 34872768. Its totient is φ = 5337600.

The previous prime is 13813577. The next prime is 13813637. The reversal of 13813600 is 631831.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24522 + ... + 25078.

It is an arithmetic number, because the mean of its divisors is an integer number (484344).

Almost surely, 2^13813600 is an apocalyptic number.

13813600 is a gapful number since it is divisible by the number (10) 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 13813600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17436384).

13813600 is an abundant number, since it is smaller than the sum of its proper divisors (21059168).

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

13813600 is a wasteful number, since it uses less digits than its factorization.

13813600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 13813600 is about 3716.6651718981. The cubic root of 13813600 is about 239.9397997158.

The spelling of 13813600 in words is "thirteen million, eight hundred thirteen thousand, six hundred".