11382912 has 96 divisors (see below), whose sum is σ = 33693660. Its totient is φ = 3686400.

The previous prime is 11382893. The next prime is 11382937. The reversal of 11382912 is 21928311.

It can be written as a sum of positive squares in 2 ways, for example, as 11128896 + 254016 = 3336^2 + 504^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47112 + ... + 47352.

Almost surely, 2^11382912 is an apocalyptic number.

11382912 is a gapful number since it is divisible by the number (12) 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 11382912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16846830).

11382912 is an abundant number, since it is smaller than the sum of its proper divisors (22310748).

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

11382912 is a wasteful number, since it uses less digits than its factorization.

11382912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 287 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 11382912 is about 3373.8571398327. The cubic root of 11382912 is about 224.9492033477.

The spelling of 11382912 in words is "eleven million, three hundred eighty-two thousand, nine hundred twelve".