13411584 has 54 divisors (see below), whose sum is σ = 38675546. Its totient is φ = 4469760.

The previous prime is 13411583. The next prime is 13411609. The reversal of 13411584 is 48511431.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 12960000 + 451584 = 3600^2 + 672^2 .

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13411583) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 607 + ... + 5214.

Almost surely, 2^13411584 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 13411584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19337773).

13411584 is an abundant number, since it is smaller than the sum of its proper divisors (25263962).

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

13411584 is an equidigital number, since it uses as much as digits as its factorization.

13411584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5843 (or 5826 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 13411584 is about 3662.1829555608. The cubic root of 13411584 is about 237.5891978900.

The spelling of 13411584 in words is "thirteen million, four hundred eleven thousand, five hundred eighty-four".