13740760 has 96 divisors (see below), whose sum is σ = 36197280. Its totient is φ = 4674560.

The previous prime is 13740757. The next prime is 13740761. The reversal of 13740760 is 6704731.

13740760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13740761) 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, 82197 + ... + 82363.

It is an arithmetic number, because the mean of its divisors is an integer number (377055).

Almost surely, 2^13740760 is an apocalyptic number.

13740760 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 13740760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18098640).

13740760 is an abundant number, since it is smaller than the sum of its proper divisors (22456520).

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

13740760 is a wasteful number, since it uses less digits than its factorization.

13740760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 28.

The square root of 13740760 is about 3706.8531128169. The cubic root of 13740760 is about 239.5173169255.

The spelling of 13740760 in words is "thirteen million, seven hundred forty thousand, seven hundred sixty".