13689600 has 216 divisors, whose sum is σ = 48663552. Its totient is φ = 3379200.

The previous prime is 13689589. The next prime is 13689601. The reversal of 13689600 is 698631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13689601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 441585 + ... + 441615.

Almost surely, 2^13689600 is an apocalyptic number.

13689600 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 13689600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24331776).

13689600 is an abundant number, since it is smaller than the sum of its proper divisors (34973952).

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

13689600 is a wasteful number, since it uses less digits than its factorization.

13689600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 13689600 is about 3699.9459455511. The cubic root of 13689600 is about 239.2196879430.

The spelling of 13689600 in words is "thirteen million, six hundred eighty-nine thousand, six hundred".