13171968 has 54 divisors (see below), whose sum is σ = 37984674. Its totient is φ = 4389888.

The previous prime is 13171943. The next prime is 13171973. The reversal of 13171968 is 86917131.

It can be written as a sum of positive squares in only one way, i.e., 11614464 + 1557504 = 3408^2 + 1248^2 .

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

It is a zygodrome in base 5.

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, 555 + ... + 5162.

Almost surely, 2^13171968 is an apocalyptic number.

13171968 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 13171968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18992337).

13171968 is an abundant number, since it is smaller than the sum of its proper divisors (24812706).

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

13171968 is an equidigital number, since it uses as much as digits as its factorization.

13171968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5739 (or 5722 counting only the distinct ones).

The product of its digits is 9072, while the sum is 36.

The square root of 13171968 is about 3629.3205975775. The cubic root of 13171968 is about 236.1657363050.

The spelling of 13171968 in words is "thirteen million, one hundred seventy-one thousand, nine hundred sixty-eight".