11882208 has 48 divisors (see below), whose sum is σ = 33593616. Its totient is φ = 3655680.

The previous prime is 11882203. The next prime is 11882219. The reversal of 11882208 is 80228811.

11882208 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11882203) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3513 + ... + 6008.

It is an arithmetic number, because the mean of its divisors is an integer number (699867).

Almost surely, 2^11882208 is an apocalyptic number.

It is an amenable number.

11882208 is an abundant number, since it is smaller than the sum of its proper divisors (21711408).

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

11882208 is a wasteful number, since it uses less digits than its factorization.

11882208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9547 (or 9539 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 30.

The square root of 11882208 is about 3447.0578759284. The cubic root of 11882208 is about 228.1912829973.

It can be divided in two parts, 11882 and 208, that added together give a triangular number (12090 = T₁₅₅).

The spelling of 11882208 in words is "eleven million, eight hundred eighty-two thousand, two hundred eight".