13185468 has 72 divisors (see below), whose sum is σ = 36101520. Its totient is φ = 4043520.

The previous prime is 13185461. The next prime is 13185493. The reversal of 13185468 is 86458131.

13185468 is a `hidden beast` number, since 13 + 185 + 468 = 666.

13185468 is digitally balanced in base 2, because in such base 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (13185461) 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, 25048 + ... + 25568.

It is an arithmetic number, because the mean of its divisors is an integer number (501410).

Almost surely, 2^13185468 is an apocalyptic number.

13185468 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 13185468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18050760).

13185468 is an abundant number, since it is smaller than the sum of its proper divisors (22916052).

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

13185468 is a wasteful number, since it uses less digits than its factorization.

13185468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 582 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 13185468 is about 3631.1799735072. The cubic root of 13185468 is about 236.2463911433.

It can be divided in two parts, 1318 and 5468, that added together give a triangular number (6786 = T₁₁₆).

The spelling of 13185468 in words is "thirteen million, one hundred eighty-five thousand, four hundred sixty-eight".