13809600 has 252 divisors, whose sum is σ = 56503824. Its totient is φ = 3133440.

The previous prime is 13809589. The next prime is 13809611. The reversal of 13809600 is 690831.

13809600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13809589) and next prime (13809611).

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 100732 + ... + 100868.

Almost surely, 2^13809600 is an apocalyptic number.

13809600 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 13809600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28251912).

13809600 is an abundant number, since it is smaller than the sum of its proper divisors (42694224).

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

13809600 is a wasteful number, since it uses less digits than its factorization.

13809600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 13809600 is about 3716.1270161285. The cubic root of 13809600 is about 239.9166377147.

The spelling of 13809600 in words is "thirteen million, eight hundred nine thousand, six hundred".