13864400 has 120 divisors (see below), whose sum is σ = 38193984. Its totient is φ = 4787200.

The previous prime is 13864397. The next prime is 13864457. The reversal of 13864400 is 446831.

13864400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13864400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101132 + ... + 101268.

Almost surely, 2^13864400 is an apocalyptic number.

13864400 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 13864400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19096992).

13864400 is an abundant number, since it is smaller than the sum of its proper divisors (24329584).

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

13864400 is a wasteful number, since it uses less digits than its factorization.

13864400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 13864400 is about 3723.4929837452. The cubic root of 13864400 is about 240.2335689124.

Subtracting from 13864400 its reverse (446831), we obtain a square (13417569 = 3663²).

The spelling of 13864400 in words is "thirteen million, eight hundred sixty-four thousand, four hundred".