13679440 has 40 divisors (see below), whose sum is σ = 32138568. Its totient is φ = 5414400.

The previous prime is 13679431. The next prime is 13679453. The reversal of 13679440 is 4497631.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3794704 + 9884736 = 1948^2 + 3144^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 13679396 and 13679405.

It is a congruent number.

It is an unprimeable number.

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, 7234 + ... + 8926.

Almost surely, 2^13679440 is an apocalyptic number.

13679440 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 13679440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16069284).

13679440 is an abundant number, since it is smaller than the sum of its proper divisors (18459128).

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

13679440 is a wasteful number, since it uses less digits than its factorization.

13679440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1807 (or 1801 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 13679440 is about 3698.5726976768. The cubic root of 13679440 is about 239.1604927985.

The spelling of 13679440 in words is "thirteen million, six hundred seventy-nine thousand, four hundred forty".