13765960 has 64 divisors (see below), whose sum is σ = 34836480. Its totient is φ = 4857600.

The previous prime is 13765957. The next prime is 13765967. The reversal of 13765960 is 6956731.

It is not an unprimeable number, because it can be changed into a prime (13765967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11385 + ... + 12535.

It is an arithmetic number, because the mean of its divisors is an integer number (544320).

Almost surely, 2^13765960 is an apocalyptic number.

13765960 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 13765960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17418240).

13765960 is an abundant number, since it is smaller than the sum of its proper divisors (21070520).

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

13765960 is a wasteful number, since it uses less digits than its factorization.

13765960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 37.

The square root of 13765960 is about 3710.2506653864. The cubic root of 13765960 is about 239.6636492078.

The spelling of 13765960 in words is "thirteen million, seven hundred sixty-five thousand, nine hundred sixty".