13766976 has 112 divisors (see below), whose sum is σ = 41940480. Its totient is φ = 4423680.

The previous prime is 13766969. The next prime is 13766981. The reversal of 13766976 is 67966731.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53440 + ... + 53696.

Almost surely, 2^13766976 is an apocalyptic number.

13766976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13766976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20970240).

13766976 is an abundant number, since it is smaller than the sum of its proper divisors (28173504).

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

13766976 is a wasteful number, since it uses less digits than its factorization.

13766976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 293 counting only the distinct ones).

The product of its digits is 285768, while the sum is 45.

The square root of 13766976 is about 3710.3875808330. The cubic root of 13766976 is about 239.6695452073.

The spelling of 13766976 in words is "thirteen million, seven hundred sixty-six thousand, nine hundred seventy-six".