13868400 has 240 divisors, whose sum is σ = 55107584. Its totient is φ = 2903040.

The previous prime is 13868389. The next prime is 13868417. The reversal of 13868400 is 486831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109137 + ... + 109263.

Almost surely, 2^13868400 is an apocalyptic number.

13868400 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 13868400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27553792).

13868400 is an abundant number, since it is smaller than the sum of its proper divisors (41239184).

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

13868400 is a wasteful number, since it uses less digits than its factorization.

13868400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 13868400 is about 3724.0300750665. The cubic root of 13868400 is about 240.2566698490.

The spelling of 13868400 in words is "thirteen million, eight hundred sixty-eight thousand, four hundred".