11832048 has 80 divisors (see below), whose sum is σ = 34596000. Its totient is φ = 3870720.

The previous prime is 11832043. The next prime is 11832053. The reversal of 11832048 is 84023811.

It is an interprime number because it is at equal distance from previous prime (11832043) and next prime (11832053).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11832043) 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 15 ways as a sum of consecutive naturals, for example, 26128 + ... + 26576.

It is an arithmetic number, because the mean of its divisors is an integer number (432450).

Almost surely, 2^11832048 is an apocalyptic number.

11832048 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 11832048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17298000).

11832048 is an abundant number, since it is smaller than the sum of its proper divisors (22763952).

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

11832048 is a wasteful number, since it uses less digits than its factorization.

11832048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 515 counting only the distinct ones).

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

The square root of 11832048 is about 3439.7744112078. The cubic root of 11832048 is about 227.8697316793.

Adding to 11832048 its reverse (84023811), we get a palindrome (95855859).

The spelling of 11832048 in words is "eleven million, eight hundred thirty-two thousand, forty-eight".