13756720 has 40 divisors (see below), whose sum is σ = 32520240. Its totient is φ = 5410560.

The previous prime is 13756709. The next prime is 13756739. The reversal of 13756720 is 2765731.

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 3471 + ... + 6289.

It is an arithmetic number, because the mean of its divisors is an integer number (813006).

Almost surely, 2^13756720 is an apocalyptic number.

13756720 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 13756720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16260120).

13756720 is an abundant number, since it is smaller than the sum of its proper divisors (18763520).

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

13756720 is a wasteful number, since it uses less digits than its factorization.

13756720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2893 (or 2887 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 31.

The square root of 13756720 is about 3709.0052574781. The cubic root of 13756720 is about 239.6100147895.

The spelling of 13756720 in words is "thirteen million, seven hundred fifty-six thousand, seven hundred twenty".