13776960 has 112 divisors (see below), whose sum is σ = 44476416. Its totient is φ = 3612672.

The previous prime is 13776949. The next prime is 13777003. The reversal of 13776960 is 6967731.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108417 + ... + 108543.

Almost surely, 2^13776960 is an apocalyptic number.

13776960 is a gapful number since it is divisible by the number (10) 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 13776960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22238208).

13776960 is an abundant number, since it is smaller than the sum of its proper divisors (30699456).

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

13776960 is a wasteful number, since it uses less digits than its factorization.

13776960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 39.

The square root of 13776960 is about 3711.7327490001. The cubic root of 13776960 is about 239.7274684222.

The spelling of 13776960 in words is "thirteen million, seven hundred seventy-six thousand, nine hundred sixty".