13608468 has 72 divisors (see below), whose sum is σ = 36036000. Its totient is φ = 4326336.

The previous prime is 13608457. The next prime is 13608481. The reversal of 13608468 is 86480631.

It is a happy number.

13608468 is a `hidden beast` number, since 1 + 3 + 608 + 46 + 8 = 666.

13608468 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a plaindrome in base 7.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91258 + ... + 91406.

It is an arithmetic number, because the mean of its divisors is an integer number (500500).

Almost surely, 2^13608468 is an apocalyptic number.

13608468 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 13608468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18018000).

13608468 is an abundant number, since it is smaller than the sum of its proper divisors (22427532).

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

13608468 is a wasteful number, since it uses less digits than its factorization.

13608468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 13608468 is about 3688.9657087048. The cubic root of 13608468 is about 238.7461693601.

The spelling of 13608468 in words is "thirteen million, six hundred eight thousand, four hundred sixty-eight".