13798200 has 192 divisors, whose sum is σ = 48434400. Its totient is φ = 3225600.

The previous prime is 13798177. The next prime is 13798207. The reversal of 13798200 is 289731.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13798207) 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 47 ways as a sum of consecutive naturals, for example, 226170 + ... + 226230.

Almost surely, 2^13798200 is an apocalyptic number.

13798200 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 13798200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24217200).

13798200 is an abundant number, since it is smaller than the sum of its proper divisors (34636200).

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

13798200 is a wasteful number, since it uses less digits than its factorization.

13798200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 13798200 is about 3714.5928444447. The cubic root of 13798200 is about 239.8506014641.

The spelling of 13798200 in words is "thirteen million, seven hundred ninety-eight thousand, two hundred".