13567968 has 36 divisors (see below), whose sum is σ = 38584728. Its totient is φ = 4522560.

The previous prime is 13567891. The next prime is 13567973. The reversal of 13567968 is 86976531.

It is a happy number.

13567968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23268 + ... + 23843.

It is an arithmetic number, because the mean of its divisors is an integer number (1071798).

Almost surely, 2^13567968 is an apocalyptic number.

13567968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13567968 is an abundant number, since it is smaller than the sum of its proper divisors (25016760).

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

13567968 is a wasteful number, since it uses less digits than its factorization.

13567968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47127 (or 47116 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 13567968 is about 3683.4722749058. The cubic root of 13567968 is about 238.5090908023.

It can be divided in two parts, 13567 and 968, that added together give a triangular number (14535 = T₁₇₀).

The spelling of 13567968 in words is "thirteen million, five hundred sixty-seven thousand, nine hundred sixty-eight".