13967648 has 48 divisors (see below), whose sum is σ = 28957824. Its totient is φ = 6624000.

The previous prime is 13967623. The next prime is 13967683. The reversal of 13967648 is 84676931.

It is a junction number, because it is equal to n+sod(n) for n = 13967599 and 13967608.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55523 + ... + 55773.

It is an arithmetic number, because the mean of its divisors is an integer number (603288).

Almost surely, 2^13967648 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 13967648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14478912).

13967648 is an abundant number, since it is smaller than the sum of its proper divisors (14990176).

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

13967648 is a wasteful number, since it uses less digits than its factorization.

13967648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 337 counting only the distinct ones).

The product of its digits is 217728, while the sum is 44.

The square root of 13967648 is about 3737.3316684501. The cubic root of 13967648 is about 240.8284334147.

The spelling of 13967648 in words is "thirteen million, nine hundred sixty-seven thousand, six hundred forty-eight".