13678200 has 192 divisors, whose sum is σ = 50220000. Its totient is φ = 3409920.

The previous prime is 13678199. The next prime is 13678201. The reversal of 13678200 is 287631.

13678200 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13678199) and next prime (13678201).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13678201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91726 + ... + 91874.

Almost surely, 2^13678200 is an apocalyptic number.

13678200 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 13678200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25110000).

13678200 is an abundant number, since it is smaller than the sum of its proper divisors (36541800).

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

13678200 is a wasteful number, since it uses less digits than its factorization.

13678200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 13678200 is about 3698.4050616448. The cubic root of 13678200 is about 239.1532661875.

The spelling of 13678200 in words is "thirteen million, six hundred seventy-eight thousand, two hundred".