13852800 has 288 divisors, whose sum is σ = 54670980. Its totient is φ = 3317760.

The previous prime is 13852799. The next prime is 13852801. The reversal of 13852800 is 825831.

It is a happy number.

13852800 is a `hidden beast` number, since 1 + 385 + 280 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13852799) and next prime (13852801).

It can be written as a sum of positive squares in 6 ways, for example, as 5419584 + 8433216 = 2328^2 + 2904^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (13852801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 374382 + ... + 374418.

Almost surely, 2^13852800 is an apocalyptic number.

13852800 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 13852800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27335490).

13852800 is an abundant number, since it is smaller than the sum of its proper divisors (40818180).

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

13852800 is a wasteful number, since it uses less digits than its factorization.

13852800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 13852800 is about 3721.9349806250. The cubic root of 13852800 is about 240.1665510597.

The spelling of 13852800 in words is "thirteen million, eight hundred fifty-two thousand, eight hundred".