13418200 has 48 divisors (see below), whose sum is σ = 32564880. Its totient is φ = 5132160.

The previous prime is 13418189. The next prime is 13418201. The reversal of 13418200 is 281431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13418201) 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, 3142 + ... + 6058.

It is an arithmetic number, because the mean of its divisors is an integer number (678435).

Almost surely, 2^13418200 is an apocalyptic number.

13418200 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 13418200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16282440).

13418200 is an abundant number, since it is smaller than the sum of its proper divisors (19146680).

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

13418200 is a wasteful number, since it uses less digits than its factorization.

13418200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2956 (or 2947 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 13418200 is about 3663.0861305735. The cubic root of 13418200 is about 237.6282594389.

Adding to 13418200 its reverse (281431), we get a palindrome (13699631).

The spelling of 13418200 in words is "thirteen million, four hundred eighteen thousand, two hundred".