13676980 has 24 divisors (see below), whose sum is σ = 29713320. Its totient is φ = 5281920.

The previous prime is 13676917. The next prime is 13676981. The reversal of 13676980 is 8967631.

It can be written as a sum of positive squares in 4 ways, for example, as 630436 + 13046544 = 794^2 + 3612^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13676981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11211 + ... + 12370.

It is an arithmetic number, because the mean of its divisors is an integer number (1238055).

Almost surely, 2^13676980 is an apocalyptic number.

13676980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13676980 is an abundant number, since it is smaller than the sum of its proper divisors (16036340).

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

13676980 is a wasteful number, since it uses less digits than its factorization.

13676980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23619 (or 23617 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The square root of 13676980 is about 3698.2401220040. The cubic root of 13676980 is about 239.1461557086.

The spelling of 13676980 in words is "thirteen million, six hundred seventy-six thousand, nine hundred eighty".