13776896 has 72 divisors (see below), whose sum is σ = 32530680. Its totient is φ = 5713920.

The previous prime is 13776871. The next prime is 13776901. The reversal of 13776896 is 69867731.

It is a self number, because there is not a number n which added to its sum of digits gives 13776896.

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 5 ways as a sum of consecutive naturals, for example, 444401 + ... + 444431.

It is an arithmetic number, because the mean of its divisors is an integer number (451815).

Almost surely, 2^13776896 is an apocalyptic number.

13776896 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 13776896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16265340).

13776896 is an abundant number, since it is smaller than the sum of its proper divisors (18753784).

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

13776896 is an frugal number, since it uses more digits than its factorization.

13776896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 40 counting only the distinct ones).

The product of its digits is 381024, while the sum is 47.

The square root of 13776896 is about 3711.7241276797. The cubic root of 13776896 is about 239.7270972086.

The spelling of 13776896 in words is "thirteen million, seven hundred seventy-six thousand, eight hundred ninety-six".