13927680 has 288 divisors, whose sum is σ = 54942720. Its totient is φ = 3317760.

The previous prime is 13927679. The next prime is 13927687. The reversal of 13927680 is 8672931.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13927687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 449265 + ... + 449295.

Almost surely, 2^13927680 is an apocalyptic number.

13927680 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 13927680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27471360).

13927680 is an abundant number, since it is smaller than the sum of its proper divisors (41015040).

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

13927680 is a wasteful number, since it uses less digits than its factorization.

13927680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 54 counting only the distinct ones).

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

The square root of 13927680 is about 3731.9807073456. The cubic root of 13927680 is about 240.5985062189.

The spelling of 13927680 in words is "thirteen million, nine hundred twenty-seven thousand, six hundred eighty".