11413584 has 180 divisors, whose sum is σ = 40119456. Its totient is φ = 2965248.

The previous prime is 11413553. The next prime is 11413601. The reversal of 11413584 is 48531411.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 170319 + ... + 170385.

Almost surely, 2^11413584 is an apocalyptic number.

11413584 is a gapful number since it is divisible by the number (14) 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 11413584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20059728).

11413584 is an abundant number, since it is smaller than the sum of its proper divisors (28705872).

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

11413584 is a wasteful number, since it uses less digits than its factorization.

11413584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 92 counting only the distinct ones).

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

The square root of 11413584 is about 3378.3996211224. The cubic root of 11413584 is about 225.1510689174.

Adding to 11413584 its reverse (48531411), we get a palindrome (59944995).

It can be divided in two parts, 11 and 413584, that added together give a triangular number (413595 = T₉₀₉).

The spelling of 11413584 in words is "eleven million, four hundred thirteen thousand, five hundred eighty-four".