13679120 has 80 divisors (see below), whose sum is σ = 39164160. Its totient is φ = 4326912.

The previous prime is 13679119. The next prime is 13679131. The reversal of 13679120 is 2197631.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6341 + ... + 8219.

It is an arithmetic number, because the mean of its divisors is an integer number (489552).

Almost surely, 2^13679120 is an apocalyptic number.

13679120 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 13679120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19582080).

13679120 is an abundant number, since it is smaller than the sum of its proper divisors (25485040).

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

13679120 is a wasteful number, since it uses less digits than its factorization.

13679120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1912 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 29.

The square root of 13679120 is about 3698.5294374927. The cubic root of 13679120 is about 239.1586279084.

The spelling of 13679120 in words is "thirteen million, six hundred seventy-nine thousand, one hundred twenty".