13695360 has 128 divisors (see below), whose sum is σ = 49939200. Its totient is φ = 3127296.

The previous prime is 13695349. The next prime is 13695389. The reversal of 13695360 is 6359631.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12931 + ... + 13949.

It is an arithmetic number, because the mean of its divisors is an integer number (390150).

Almost surely, 2^13695360 is an apocalyptic number.

13695360 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 13695360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24969600).

13695360 is an abundant number, since it is smaller than the sum of its proper divisors (36243840).

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

13695360 is a wasteful number, since it uses less digits than its factorization.

13695360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 33.

The square root of 13695360 is about 3700.7242534401. The cubic root of 13695360 is about 239.2532343868.

The spelling of 13695360 in words is "thirteen million, six hundred ninety-five thousand, three hundred sixty".