13179680 has 24 divisors (see below), whose sum is σ = 31137372. Its totient is φ = 5271808.

The previous prime is 13179671. The next prime is 13179689. The reversal of 13179680 is 8697131.

It is an interprime number because it is at equal distance from previous prime (13179671) and next prime (13179689).

It can be written as a sum of positive squares in 2 ways, for example, as 11916304 + 1263376 = 3452^2 + 1124^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13179680.

It is not an unprimeable number, because it can be changed into a prime (13179689) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41027 + ... + 41346.

Almost surely, 2^13179680 is an apocalyptic number.

13179680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13179680 is an abundant number, since it is smaller than the sum of its proper divisors (17957692).

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

13179680 is an equidigital number, since it uses as much as digits as its factorization.

13179680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82388 (or 82380 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 35.

The square root of 13179680 is about 3630.3828999157. The cubic root of 13179680 is about 236.2118178732.

The spelling of 13179680 in words is "thirteen million, one hundred seventy-nine thousand, six hundred eighty".