13485472 has 96 divisors (see below), whose sum is σ = 35731584. Its totient is φ = 4838400.

The previous prime is 13485469. The next prime is 13485487. The reversal of 13485472 is 27458431.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31822 + ... + 32242.

It is an arithmetic number, because the mean of its divisors is an integer number (372204).

Almost surely, 2^13485472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13485472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17865792).

13485472 is an abundant number, since it is smaller than the sum of its proper divisors (22246112).

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

13485472 is a wasteful number, since it uses less digits than its factorization.

13485472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 454 counting only the distinct ones).

The product of its digits is 26880, while the sum is 34.

The square root of 13485472 is about 3672.2570716114. The cubic root of 13485472 is about 238.0247132024.

It can be divided in two parts, 13 and 485472, that multiplied together give a palindrome (6311136).

The spelling of 13485472 in words is "thirteen million, four hundred eighty-five thousand, four hundred seventy-two".