13946760 has 96 divisors (see below), whose sum is σ = 47736000. Its totient is φ = 3521664.

The previous prime is 13946747. The next prime is 13946761. The reversal of 13946760 is 6764931.

13946760 is a `hidden beast` number, since 139 + 467 + 60 = 666.

13946760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×13946760³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13946761) 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, 5821 + ... + 7859.

It is an arithmetic number, because the mean of its divisors is an integer number (497250).

Almost surely, 2^13946760 is an apocalyptic number.

13946760 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 13946760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23868000).

13946760 is an abundant number, since it is smaller than the sum of its proper divisors (33789240).

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

13946760 is a wasteful number, since it uses less digits than its factorization.

13946760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2075 (or 2068 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 13946760 is about 3734.5361157713. The cubic root of 13946760 is about 240.7083240974.

It can be divided in two parts, 13946 and 760, that added together give a triangular number (14706 = T₁₇₁).

The spelling of 13946760 in words is "thirteen million, nine hundred forty-six thousand, seven hundred sixty".