13407968 has 72 divisors (see below), whose sum is σ = 32577552. Its totient is φ = 5397504.

The previous prime is 13407941. The next prime is 13407971. The reversal of 13407968 is 86970431.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26405 + ... + 26907.

It is an arithmetic number, because the mean of its divisors is an integer number (452466).

Almost surely, 2^13407968 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 13407968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16288776).

13407968 is an abundant number, since it is smaller than the sum of its proper divisors (19169584).

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

13407968 is a wasteful number, since it uses less digits than its factorization.

13407968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 13407968 is about 3661.6892276653. The cubic root of 13407968 is about 237.5678432222.

The spelling of 13407968 in words is "thirteen million, four hundred seven thousand, nine hundred sixty-eight".