13680042 has 16 divisors (see below), whose sum is σ = 27876960. Its totient is φ = 4473872.

The previous prime is 13680041. The next prime is 13680061. The reversal of 13680042 is 24008631.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13679994 and 13680021.

It is not an unprimeable number, because it can be changed into a prime (13680041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21192 + ... + 21827.

It is an arithmetic number, because the mean of its divisors is an integer number (1742310).

Almost surely, 2^13680042 is an apocalyptic number.

13680042 is an abundant number, since it is smaller than the sum of its proper divisors (14196918).

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

13680042 is a wasteful number, since it uses less digits than its factorization.

13680042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43077.

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 13680042 is about 3698.6540795268. The cubic root of 13680042 is about 239.1640010440.

Adding to 13680042 its reverse (24008631), we get a palindrome (37688673).

The spelling of 13680042 in words is "thirteen million, six hundred eighty thousand, forty-two".