13766648 has 64 divisors (see below), whose sum is σ = 31320000. Its totient is φ = 5663616.

The previous prime is 13766593. The next prime is 13766657. The reversal of 13766648 is 84666731.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 79490 + ... + 79662.

It is an arithmetic number, because the mean of its divisors is an integer number (489375).

Almost surely, 2^13766648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13766648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15660000).

13766648 is an abundant number, since it is smaller than the sum of its proper divisors (17553352).

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

13766648 is a wasteful number, since it uses less digits than its factorization.

13766648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 211 counting only the distinct ones).

The product of its digits is 145152, while the sum is 41.

The square root of 13766648 is about 3710.3433803356. The cubic root of 13766648 is about 239.6676418061.

The spelling of 13766648 in words is "thirteen million, seven hundred sixty-six thousand, six hundred forty-eight".