11882808 has 128 divisors (see below), whose sum is σ = 39168000. Its totient is φ = 3265920.

The previous prime is 11882807. The next prime is 11882821. The reversal of 11882808 is 80828811.

It is a happy number.

It is a super-2 number, since 2×11882808² = 282402251929728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11882807) 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 31 ways as a sum of consecutive naturals, for example, 43713 + ... + 43983.

It is an arithmetic number, because the mean of its divisors is an integer number (306000).

Almost surely, 2^11882808 is an apocalyptic number.

11882808 is a gapful number since it is divisible by the number (18) 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 11882808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19584000).

11882808 is an abundant number, since it is smaller than the sum of its proper divisors (27285192).

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

11882808 is a wasteful number, since it uses less digits than its factorization.

11882808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 36.

The square root of 11882808 is about 3447.1449055704. The cubic root of 11882808 is about 228.1951238229.

11882808 divided by its sum of digits (36) gives a triangular number (330078 = T₈₁₂).

The spelling of 11882808 in words is "eleven million, eight hundred eighty-two thousand, eight hundred eight".