11836128 has 48 divisors (see below), whose sum is σ = 31328640. Its totient is φ = 3912576.

The previous prime is 11836127. The next prime is 11836129. The reversal of 11836128 is 82163811.

It is an interprime number because it is at equal distance from previous prime (11836127) and next prime (11836129).

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

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

It is a junction number, because it is equal to n+sod(n) for n = 11836095 and 11836104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11836127) 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 7 ways as a sum of consecutive naturals, for example, 12901 + ... + 13787.

It is an arithmetic number, because the mean of its divisors is an integer number (652680).

Almost surely, 2^11836128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11836128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15664320).

11836128 is an abundant number, since it is smaller than the sum of its proper divisors (19492512).

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

11836128 is a wasteful number, since it uses less digits than its factorization.

11836128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039 (or 1031 counting only the distinct ones).

The product of its digits is 2304, while the sum is 30.

The square root of 11836128 is about 3440.3674222385. The cubic root of 11836128 is about 227.8959204862.

Adding to 11836128 its reverse (82163811), we get a palindrome (93999939).

The spelling of 11836128 in words is "eleven million, eight hundred thirty-six thousand, one hundred twenty-eight".