13279680 has 224 divisors, whose sum is σ = 49377600. Its totient is φ = 3354624.

The previous prime is 13279667. The next prime is 13279681. The reversal of 13279680 is 8697231.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13279681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 250534 + ... + 250586.

Almost surely, 2^13279680 is an apocalyptic number.

13279680 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 13279680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24688800).

13279680 is an abundant number, since it is smaller than the sum of its proper divisors (36097920).

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

13279680 is a wasteful number, since it uses less digits than its factorization.

13279680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 13279680 is about 3644.1295256892. The cubic root of 13279680 is about 236.8077274079.

The spelling of 13279680 in words is "thirteen million, two hundred seventy-nine thousand, six hundred eighty".