13766540 has 24 divisors (see below), whose sum is σ = 29279040. Its totient is φ = 5436288.

The previous prime is 13766521. The next prime is 13766551. The reversal of 13766540 is 4566731.

It is a junction number, because it is equal to n+sod(n) for n = 13766497 and 13766506.

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, 2777 + ... + 5936.

It is an arithmetic number, because the mean of its divisors is an integer number (1219960).

Almost surely, 2^13766540 is an apocalyptic number.

13766540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13766540 is an abundant number, since it is smaller than the sum of its proper divisors (15512500).

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

13766540 is a wasteful number, since it uses less digits than its factorization.

13766540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8801 (or 8799 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 13766540 is about 3710.3288263980. The cubic root of 13766540 is about 239.6670150698.

The spelling of 13766540 in words is "thirteen million, seven hundred sixty-six thousand, five hundred forty".