13685742 has 48 divisors (see below), whose sum is σ = 34624512. Its totient is φ = 3825360.

The previous prime is 13685741. The next prime is 13685773. The reversal of 13685742 is 24758631.

It is a junction number, because it is equal to n+sod(n) for n = 13685697 and 13685706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13685741) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4767 + ... + 7077.

It is an arithmetic number, because the mean of its divisors is an integer number (721344).

Almost surely, 2^13685742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13685742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17312256).

13685742 is an abundant number, since it is smaller than the sum of its proper divisors (20938770).

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

13685742 is a wasteful number, since it uses less digits than its factorization.

13685742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2373 (or 2370 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 13685742 is about 3699.4245498456. The cubic root of 13685742 is about 239.1972135520.

The spelling of 13685742 in words is "thirteen million, six hundred eighty-five thousand, seven hundred forty-two".