13755264 has 64 divisors (see below), whose sum is σ = 36977040. Its totient is φ = 4530176.

The previous prime is 13755263. The next prime is 13755271. The reversal of 13755264 is 46255731.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13755263) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43234 + ... + 43550.

Almost surely, 2^13755264 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 13755264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18488520).

13755264 is an abundant number, since it is smaller than the sum of its proper divisors (23221776).

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

13755264 is a wasteful number, since it uses less digits than its factorization.

13755264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 435 counting only the distinct ones).

The product of its digits is 25200, while the sum is 33.

The square root of 13755264 is about 3708.8089732419. The cubic root of 13755264 is about 239.6015611152.

The spelling of 13755264 in words is "thirteen million, seven hundred fifty-five thousand, two hundred sixty-four".