13679840 has 48 divisors (see below), whose sum is σ = 32559408. Its totient is φ = 5431296.

The previous prime is 13679833. The next prime is 13679873. The reversal of 13679840 is 4897631.

It is a junction number, because it is equal to n+sod(n) for n = 13679794 and 13679803.

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, 30659 + ... + 31101.

It is an arithmetic number, because the mean of its divisors is an integer number (678321).

Almost surely, 2^13679840 is an apocalyptic number.

13679840 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 13679840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16279704).

13679840 is an abundant number, since it is smaller than the sum of its proper divisors (18879568).

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

13679840 is a wasteful number, since it uses less digits than its factorization.

13679840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 13679840 is about 3698.6267721953. The cubic root of 13679840 is about 239.1628238701.

The spelling of 13679840 in words is "thirteen million, six hundred seventy-nine thousand, eight hundred forty".