11048832 has 128 divisors (see below), whose sum is σ = 34272000. Its totient is φ = 3497472.

The previous prime is 11048831. The next prime is 11048833. The reversal of 11048832 is 23884011.

It is an interprime number because it is at equal distance from previous prime (11048831) and next prime (11048833).

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a junction number, because it is equal to n+sod(n) for n = 11048796 and 11048805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11048831) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79419 + ... + 79557.

It is an arithmetic number, because the mean of its divisors is an integer number (267750).

Almost surely, 2^11048832 is an apocalyptic number.

11048832 is a gapful number since it is divisible by the number (12) 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 11048832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17136000).

11048832 is an abundant number, since it is smaller than the sum of its proper divisors (23223168).

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

11048832 is a wasteful number, since it uses less digits than its factorization.

11048832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 167 counting only the distinct ones).

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

The square root of 11048832 is about 3323.9783392796. The cubic root of 11048832 is about 222.7266184121.

The spelling of 11048832 in words is "eleven million, forty-eight thousand, eight hundred thirty-two".