11882304 has 126 divisors (see below), whose sum is σ = 39713154. Its totient is φ = 3386880.

The previous prime is 11882293. The next prime is 11882309. The reversal of 11882304 is 40328811.

It can be written as a sum of positive squares in only one way, i.e., 6350400 + 5531904 = 2520^2 + 2352^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11882309) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 28014 + ... + 28434.

Almost surely, 2^11882304 is an apocalyptic number.

11882304 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 11882304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19856577).

11882304 is an abundant number, since it is smaller than the sum of its proper divisors (27830850).

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

11882304 is a wasteful number, since it uses less digits than its factorization.

11882304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 433 counting only the distinct ones).

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

The square root of 11882304 is about 3447.0718008188. The cubic root of 11882304 is about 228.1918975381.

The spelling of 11882304 in words is "eleven million, eight hundred eighty-two thousand, three hundred four".