13478432 has 54 divisors (see below), whose sum is σ = 29670039. Its totient is φ = 6022720.

The previous prime is 13478431. The next prime is 13478447. The reversal of 13478432 is 23487431.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 6739216 + 6739216 = 2596^2 + 2596^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=2596.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a Duffinian number.

Its product of digits (16128) is a multiple of the sum of its prime divisors (72).

It is not an unprimeable number, because it can be changed into a prime (13478431) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 228419 + ... + 228477.

Almost surely, 2^13478432 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 13478432

13478432 is an abundant number, since it is smaller than the sum of its proper divisors (16191607).

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

13478432 is an equidigital number, since it uses as much as digits as its factorization.

13478432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 72 counting only the distinct ones).

The product of its digits is 16128, while the sum is 32.

The square root of 13478432 is about 3671.2984079206. The cubic root of 13478432 is about 237.9832862589.

Multiplying 13478432 by its sum of digits (32), we get a square (431309824 = 20768²).

13478432 divided by its sum of digits (32) gives a square (421201 = 649²).

It can be divided in two parts, 1347 and 8432, that added together give a palindrome (9779).

The spelling of 13478432 in words is "thirteen million, four hundred seventy-eight thousand, four hundred thirty-two".