11164384 has 96 divisors (see below), whose sum is σ = 28740096. Its totient is φ = 4139520.

The previous prime is 11164379. The next prime is 11164429. The reversal of 11164384 is 48346111.

It is a Harshad number since it is a multiple of its sum of digits (28).

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 15 ways as a sum of consecutive naturals, for example, 56574 + ... + 56770.

It is an arithmetic number, because the mean of its divisors is an integer number (299376).

Almost surely, 2^11164384 is an apocalyptic number.

11164384 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 11164384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14370048).

11164384 is an abundant number, since it is smaller than the sum of its proper divisors (17575712).

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

11164384 is a wasteful number, since it uses less digits than its factorization.

11164384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 240 counting only the distinct ones).

The product of its digits is 2304, while the sum is 28.

The square root of 11164384 is about 3341.3147113075. The cubic root of 11164384 is about 223.5003745237.

The spelling of 11164384 in words is "eleven million, one hundred sixty-four thousand, three hundred eighty-four".