13678056 has 72 divisors (see below), whose sum is σ = 43103970. Its totient is φ = 3907008.

The previous prime is 13678003. The next prime is 13678057. The reversal of 13678056 is 65087631.

13678056 is digitally balanced in base 2, base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 12744900 + 933156 = 3570^2 + 966^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

13678056 is strictly pandigital in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 13678056.

It is not an unprimeable number, because it can be changed into a prime (13678057) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1590 + ... + 5466.

Almost surely, 2^13678056 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 13678056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21551985).

13678056 is an abundant number, since it is smaller than the sum of its proper divisors (29425914).

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

13678056 is a wasteful number, since it uses less digits than its factorization.

13678056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3903 (or 3889 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 13678056 is about 3698.3855937422. The cubic root of 13678056 is about 239.1524269399.

The spelling of 13678056 in words is "thirteen million, six hundred seventy-eight thousand, fifty-six".