13747968 has 216 divisors, whose sum is σ = 46873008. Its totient is φ = 3981312.

The previous prime is 13747961. The next prime is 13747991. The reversal of 13747968 is 86974731.

It is a tau number, because it is divible by the number of its divisors (216).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13747961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 808696 + ... + 808712.

Almost surely, 2^13747968 is an apocalyptic number.

13747968 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 13747968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23436504).

13747968 is an abundant number, since it is smaller than the sum of its proper divisors (33125040).

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

13747968 is an equidigital number, since it uses as much as digits as its factorization.

13747968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 35 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 13747968 is about 3707.8252386001. The cubic root of 13747968 is about 239.5591908594.

The spelling of 13747968 in words is "thirteen million, seven hundred forty-seven thousand, nine hundred sixty-eight".