13216968 has 24 divisors (see below), whose sum is σ = 35796150. Its totient is φ = 4405632.

The previous prime is 13216963. The next prime is 13216969. The reversal of 13216968 is 86961231.

It can be written as a sum of positive squares in only one way, i.e., 11819844 + 1397124 = 3438^2 + 1182^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×13216968² = 349376486226048, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13216963) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 91713 + ... + 91856.

Almost surely, 2^13216968 is an apocalyptic number.

13216968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13216968 is an abundant number, since it is smaller than the sum of its proper divisors (22579182).

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

13216968 is a wasteful number, since it uses less digits than its factorization.

13216968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183581 (or 183574 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 13216968 is about 3635.5148191143. The cubic root of 13216968 is about 236.4343719079.

The spelling of 13216968 in words is "thirteen million, two hundred sixteen thousand, nine hundred sixty-eight".