13976080 has 40 divisors (see below), whose sum is σ = 33294744. Its totient is φ = 5452800.

The previous prime is 13976059. The next prime is 13976087. The reversal of 13976080 is 8067931.

It can be written as a sum of positive squares in 4 ways, for example, as 1557504 + 12418576 = 1248^2 + 3524^2 .

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

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13976087) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1150 + ... + 5410.

Almost surely, 2^13976080 is an apocalyptic number.

13976080 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 13976080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16647372).

13976080 is an abundant number, since it is smaller than the sum of its proper divisors (19318664).

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

13976080 is a wasteful number, since it uses less digits than its factorization.

13976080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4315 (or 4309 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 13976080 is about 3738.4595758146. The cubic root of 13976080 is about 240.8768848281.

The spelling of 13976080 in words is "thirteen million, nine hundred seventy-six thousand, eighty".