13668096 has 108 divisors (see below), whose sum is σ = 40262712. Its totient is φ = 4091904.

The previous prime is 13668071. The next prime is 13668097. The reversal of 13668096 is 69086631.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13668097) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 369390 + ... + 369426.

Almost surely, 2^13668096 is an apocalyptic number.

13668096 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 13668096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20131356).

13668096 is an abundant number, since it is smaller than the sum of its proper divisors (26594616).

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

13668096 is an equidigital number, since it uses as much as digits as its factorization.

13668096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 13668096 is about 3697.0388150519. The cubic root of 13668096 is about 239.0943646790.

Multiplying 13668096 by its sum of digits (39), we get a square (533055744 = 23088²).

13668096 divided by its sum of digits (39) gives a square (350464 = 592²).

The spelling of 13668096 in words is "thirteen million, six hundred sixty-eight thousand, ninety-six".