13678400 has 84 divisors (see below), whose sum is σ = 34393632. Its totient is φ = 5352960.

The previous prime is 13678373. The next prime is 13678403. The reversal of 13678400 is 487631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13678403) 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, 132749 + ... + 132851.

It is an arithmetic number, because the mean of its divisors is an integer number (409448).

Almost surely, 2^13678400 is an apocalyptic number.

13678400 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 13678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17196816).

13678400 is an abundant number, since it is smaller than the sum of its proper divisors (20715232).

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

13678400 is a wasteful number, since it uses less digits than its factorization.

13678400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 13678400 is about 3698.4321002284. The cubic root of 13678400 is about 239.1544317995.

The spelling of 13678400 in words is "thirteen million, six hundred seventy-eight thousand, four hundred".