13283968 has 32 divisors (see below), whose sum is σ = 26928000. Its totient is φ = 6525696.

The previous prime is 13283957. The next prime is 13283969. The reversal of 13283968 is 86938231.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 13283968.

It is not an unprimeable number, because it can be changed into a prime (13283969) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6673 + ... + 8431.

It is an arithmetic number, because the mean of its divisors is an integer number (841500).

Almost surely, 2^13283968 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 13283968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13464000).

13283968 is an abundant number, since it is smaller than the sum of its proper divisors (13644032).

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

13283968 is an equidigital number, since it uses as much as digits as its factorization.

13283968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1832 (or 1820 counting only the distinct ones).

The product of its digits is 62208, while the sum is 40.

The square root of 13283968 is about 3644.7178217250. The cubic root of 13283968 is about 236.8332130185.

It can be divided in two parts, 132 and 83968, that added together give a square (84100 = 290²).

The spelling of 13283968 in words is "thirteen million, two hundred eighty-three thousand, nine hundred sixty-eight".