13981800 has 96 divisors (see below), whose sum is σ = 49550400. Its totient is φ = 3194880.

The previous prime is 13981789. The next prime is 13981801. The reversal of 13981800 is 818931.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (13981801) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2536 + ... + 5864.

It is an arithmetic number, because the mean of its divisors is an integer number (516150).

Almost surely, 2^13981800 is an apocalyptic number.

13981800 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 13981800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24775200).

13981800 is an abundant number, since it is smaller than the sum of its proper divisors (35568600).

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

13981800 is a wasteful number, since it uses less digits than its factorization.

13981800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3355 (or 3346 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 13981800 is about 3739.2245185332. The cubic root of 13981800 is about 240.9097416296.

The spelling of 13981800 in words is "thirteen million, nine hundred eighty-one thousand, eight hundred".