13976560 has 80 divisors (see below), whose sum is σ = 35622720. Its totient is φ = 5068800.

The previous prime is 13976551. The next prime is 13976561. The reversal of 13976560 is 6567931.

13976560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13976561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92485 + ... + 92635.

It is an arithmetic number, because the mean of its divisors is an integer number (445284).

Almost surely, 2^13976560 is an apocalyptic number.

13976560 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 13976560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17811360).

13976560 is an abundant number, since it is smaller than the sum of its proper divisors (21646160).

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

13976560 is a wasteful number, since it uses less digits than its factorization.

13976560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 37.

The square root of 13976560 is about 3738.5237728280. The cubic root of 13976560 is about 240.8796423868.

The spelling of 13976560 in words is "thirteen million, nine hundred seventy-six thousand, five hundred sixty".