13745664 has 120 divisors (see below), whose sum is σ = 42024840. Its totient is φ = 4313088.

The previous prime is 13745657. The next prime is 13745689. The reversal of 13745664 is 46654731.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87474 + ... + 87630.

It is an arithmetic number, because the mean of its divisors is an integer number (350207).

Almost surely, 2^13745664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13745664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21012420).

13745664 is an abundant number, since it is smaller than the sum of its proper divisors (28279176).

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

13745664 is a wasteful number, since it uses less digits than its factorization.

13745664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 181 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 13745664 is about 3707.5145313269. The cubic root of 13745664 is about 239.5458076644.

The spelling of 13745664 in words is "thirteen million, seven hundred forty-five thousand, six hundred sixty-four".