13279968 has 72 divisors (see below), whose sum is σ = 40681368. Its totient is φ = 4084992.

The previous prime is 13279951. The next prime is 13279969. The reversal of 13279968 is 86997231.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13279969) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1971 + ... + 5517.

It is an arithmetic number, because the mean of its divisors is an integer number (565019).

Almost surely, 2^13279968 is an apocalyptic number.

13279968 is a gapful number since it is divisible by the number (18) 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 13279968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20340684).

13279968 is an abundant number, since it is smaller than the sum of its proper divisors (27401400).

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

13279968 is a wasteful number, since it uses less digits than its factorization.

13279968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3576 (or 3565 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 13279968 is about 3644.1690410847. The cubic root of 13279968 is about 236.8094392999.

The spelling of 13279968 in words is "thirteen million, two hundred seventy-nine thousand, nine hundred sixty-eight".