11380824 has 160 divisors (see below), whose sum is σ = 39436320. Its totient is φ = 2985984.

The previous prime is 11380801. The next prime is 11380843. The reversal of 11380824 is 42808311.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 58872 + ... + 59064.

It is an arithmetic number, because the mean of its divisors is an integer number (246477).

Almost surely, 2^11380824 is an apocalyptic number.

11380824 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 11380824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19718160).

11380824 is an abundant number, since it is smaller than the sum of its proper divisors (28055496).

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

11380824 is a wasteful number, since it uses less digits than its factorization.

11380824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 11380824 is about 3373.5476875242. The cubic root of 11380824 is about 224.9354481487.

The spelling of 11380824 in words is "eleven million, three hundred eighty thousand, eight hundred twenty-four".