13766046 has 64 divisors (see below), whose sum is σ = 33116160. Its totient is φ = 3732480.

The previous prime is 13766041. The next prime is 13766059. The reversal of 13766046 is 64066731.

13766046 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13765998 and 13766016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13766041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126240 + ... + 126348.

It is an arithmetic number, because the mean of its divisors is an integer number (517440).

Almost surely, 2^13766046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13766046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16558080).

13766046 is an abundant number, since it is smaller than the sum of its proper divisors (19350114).

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

13766046 is a wasteful number, since it uses less digits than its factorization.

13766046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249.

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 13766046 is about 3710.2622548817. The cubic root of 13766046 is about 239.6641482899.

The spelling of 13766046 in words is "thirteen million, seven hundred sixty-six thousand, forty-six".