13679680 has 112 divisors (see below), whose sum is σ = 38624256. Its totient is φ = 4515840.

The previous prime is 13679669. The next prime is 13679693. The reversal of 13679680 is 8697631.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 69342 + ... + 69538.

Almost surely, 2^13679680 is an apocalyptic number.

13679680 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 13679680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19312128).

13679680 is an abundant number, since it is smaller than the sum of its proper divisors (24944576).

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

13679680 is a wasteful number, since it uses less digits than its factorization.

13679680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 242 counting only the distinct ones).

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

The square root of 13679680 is about 3698.6051424828. The cubic root of 13679680 is about 239.1618914469.

The spelling of 13679680 in words is "thirteen million, six hundred seventy-nine thousand, six hundred eighty".