13745760 has 96 divisors (see below), whose sum is σ = 49496832. Its totient is φ = 3141120.

The previous prime is 13745749. The next prime is 13745777. The reversal of 13745760 is 6754731.

13745760 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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, 1315 + ... + 5405.

It is an arithmetic number, because the mean of its divisors is an integer number (515592).

Almost surely, 2^13745760 is an apocalyptic number.

13745760 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 13745760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24748416).

13745760 is an abundant number, since it is smaller than the sum of its proper divisors (35751072).

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

13745760 is a wasteful number, since it uses less digits than its factorization.

13745760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4116 (or 4108 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The square root of 13745760 is about 3707.5274779831. The cubic root of 13745760 is about 239.5463653274.

The spelling of 13745760 in words is "thirteen million, seven hundred forty-five thousand, seven hundred sixty".