13486200 has 288 divisors, whose sum is σ = 54460800. Its totient is φ = 2695680.

The previous prime is 13486177. The next prime is 13486217. The reversal of 13486200 is 268431.

It is a happy number.

13486200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 709791 + ... + 709809.

It is an arithmetic number, because the mean of its divisors is an integer number (189100).

Almost surely, 2^13486200 is an apocalyptic number.

13486200 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 13486200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27230400).

13486200 is an abundant number, since it is smaller than the sum of its proper divisors (40974600).

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

13486200 is a wasteful number, since it uses less digits than its factorization.

13486200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 13486200 is about 3672.3561918746. The cubic root of 13486200 is about 238.0289963024.

The spelling of 13486200 in words is "thirteen million, four hundred eighty-six thousand, two hundred".