13776966 has 40 divisors (see below), whose sum is σ = 35283600. Its totient is φ = 3935952.

The previous prime is 13776949. The next prime is 13777003. The reversal of 13776966 is 66967731.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4941 + ... + 7208.

It is an arithmetic number, because the mean of its divisors is an integer number (882090).

Almost surely, 2^13776966 is an apocalyptic number.

13776966 is an abundant number, since it is smaller than the sum of its proper divisors (21506634).

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

13776966 is a wasteful number, since it uses less digits than its factorization.

13776966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12170 (or 12161 counting only the distinct ones).

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

The square root of 13776966 is about 3711.7335572479. The cubic root of 13776966 is about 239.7275032234.

The spelling of 13776966 in words is "thirteen million, seven hundred seventy-six thousand, nine hundred sixty-six".