13766040 has 48 divisors (see below), whose sum is σ = 44740800. Its totient is φ = 3670848.

The previous prime is 13766033. The next prime is 13766041. The reversal of 13766040 is 4066731.

It is a junction number, because it is equal to n+sod(n) for n = 13765995 and 13766013.

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 11 ways as a sum of consecutive naturals, for example, 18760 + ... + 19479.

It is an arithmetic number, because the mean of its divisors is an integer number (932100).

Almost surely, 2^13766040 is an apocalyptic number.

13766040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13766040 is an abundant number, since it is smaller than the sum of its proper divisors (30974760).

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

13766040 is a wasteful number, since it uses less digits than its factorization.

13766040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38256 (or 38249 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 13766040 is about 3710.2614463135. The cubic root of 13766040 is about 239.6641134703.

The spelling of 13766040 in words is "thirteen million, seven hundred sixty-six thousand, forty".