13881600 has 162 divisors, whose sum is σ = 49835786. Its totient is φ = 3686400.

The previous prime is 13881589. The next prime is 13881611. The reversal of 13881600 is 618831.

It is an interprime number because it is at equal distance from previous prime (13881589) and next prime (13881611).

It can be written as a sum of positive squares in 3 ways, for example, as 1937664 + 11943936 = 1392^2 + 3456^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 57480 + ... + 57720.

Almost surely, 2^13881600 is an apocalyptic number.

13881600 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 13881600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24917893).

13881600 is an abundant number, since it is smaller than the sum of its proper divisors (35954186).

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

13881600 is a wasteful number, since it uses less digits than its factorization.

13881600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 13881600 is about 3725.8019271024. The cubic root of 13881600 is about 240.3328714391.

The spelling of 13881600 in words is "thirteen million, eight hundred eighty-one thousand, six hundred".