13776984 has 96 divisors (see below), whose sum is σ = 41277600. Its totient is φ = 4124160.

The previous prime is 13776949. The next prime is 13777003. The reversal of 13776984 is 48967731.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38197 + ... + 38555.

It is an arithmetic number, because the mean of its divisors is an integer number (429975).

Almost surely, 2^13776984 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 13776984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20638800).

13776984 is an abundant number, since it is smaller than the sum of its proper divisors (27500616).

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

13776984 is a wasteful number, since it uses less digits than its factorization.

13776984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 418 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 13776984 is about 3711.7359819901. The cubic root of 13776984 is about 239.7276076269.

The spelling of 13776984 in words is "thirteen million, seven hundred seventy-six thousand, nine hundred eighty-four".