13068416 has 48 divisors (see below), whose sum is σ = 27356910. Its totient is φ = 6217728.

The previous prime is 13068401. The next prime is 13068421. The reversal of 13068416 is 61486031.

It can be written as a sum of positive squares in only one way, i.e., 12222016 + 846400 = 3496^2 + 920^2 .

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, 67616 + ... + 67808.

Almost surely, 2^13068416 is an apocalyptic number.

13068416 is a gapful number since it is divisible by the number (16) 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 13068416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13678455).

13068416 is an abundant number, since it is smaller than the sum of its proper divisors (14288494).

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

13068416 is an equidigital number, since it uses as much as digits as its factorization.

13068416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 13068416 is about 3615.0264176075. The cubic root of 13068416 is about 235.5452316718.

The spelling of 13068416 in words is "thirteen million, sixty-eight thousand, four hundred sixteen".