13749760 has 80 divisors (see below), whose sum is σ = 34029072. Its totient is φ = 5324800.

The previous prime is 13749733. The next prime is 13749761. The reversal of 13749760 is 6794731.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13749761) 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, 104895 + ... + 105025.

Almost surely, 2^13749760 is an apocalyptic number.

13749760 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 13749760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17014536).

13749760 is an abundant number, since it is smaller than the sum of its proper divisors (20279312).

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

13749760 is an equidigital number, since it uses as much as digits as its factorization.

13749760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 37.

The square root of 13749760 is about 3708.0668818132. The cubic root of 13749760 is about 239.5695989774.

The spelling of 13749760 in words is "thirteen million, seven hundred forty-nine thousand, seven hundred sixty".