13500468 has 72 divisors (see below), whose sum is σ = 35642880. Its totient is φ = 4305600.

The previous prime is 13500463. The next prime is 13500479. The reversal of 13500468 is 86400531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13500463) 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, 133618 + ... + 133718.

It is an arithmetic number, because the mean of its divisors is an integer number (495040).

Almost surely, 2^13500468 is an apocalyptic number.

13500468 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 13500468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17821440).

13500468 is an abundant number, since it is smaller than the sum of its proper divisors (22142412).

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

13500468 is a wasteful number, since it uses less digits than its factorization.

13500468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 13500468 is about 3674.2983003561. The cubic root of 13500468 is about 238.1129092586.

Adding to 13500468 its reverse (86400531), we get a palindrome (99900999).

The spelling of 13500468 in words is "thirteen million, five hundred thousand, four hundred sixty-eight".