13986720 has 144 divisors (see below), whose sum is σ = 52127712. Its totient is φ = 3386880.

The previous prime is 13986697. The next prime is 13986743. The reversal of 13986720 is 2768931.

13986720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13986697) and next prime (13986743).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15399 + ... + 16281.

It is an arithmetic number, because the mean of its divisors is an integer number (361998).

Almost surely, 2^13986720 is an apocalyptic number.

13986720 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 13986720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26063856).

13986720 is an abundant number, since it is smaller than the sum of its proper divisors (38140992).

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

13986720 is a wasteful number, since it uses less digits than its factorization.

13986720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 13986720 is about 3739.8823510907. The cubic root of 13986720 is about 240.9379959061.

It can be divided in two parts, 13986 and 720, that added together give a triangular number (14706 = T₁₇₁).

The spelling of 13986720 in words is "thirteen million, nine hundred eighty-six thousand, seven hundred twenty".