13749360 has 80 divisors (see below), whose sum is σ = 43390080. Its totient is φ = 3600640.

The previous prime is 13749349. The next prime is 13749371. The reversal of 13749360 is 6394731.

It is an interprime number because it is at equal distance from previous prime (13749349) and next prime (13749371).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13675 + ... + 14645.

It is an arithmetic number, because the mean of its divisors is an integer number (542376).

Almost surely, 2^13749360 is an apocalyptic number.

13749360 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 13749360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21695040).

13749360 is an abundant number, since it is smaller than the sum of its proper divisors (29640720).

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

13749360 is a wasteful number, since it uses less digits than its factorization.

13749360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 13749360 is about 3708.0129449612. The cubic root of 13749360 is about 239.5672758152.

The spelling of 13749360 in words is "thirteen million, seven hundred forty-nine thousand, three hundred sixty".