13676080 has 40 divisors (see below), whose sum is σ = 34689744. Its totient is φ = 4972800.

The previous prime is 13676063. The next prime is 13676087. The reversal of 13676080 is 8067631.

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

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (13676087) 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, 6891 + ... + 8650.

Almost surely, 2^13676080 is an apocalyptic number.

13676080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13676080 is an abundant number, since it is smaller than the sum of its proper divisors (21013664).

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

13676080 is a wasteful number, since it uses less digits than its factorization.

13676080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15565 (or 15559 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 13676080 is about 3698.1184405046. The cubic root of 13676080 is about 239.1409100023.

It can be divided in two parts, 1367 and 6080, that added together give a palindrome (7447).

The spelling of 13676080 in words is "thirteen million, six hundred seventy-six thousand, eighty".