11205832 has 32 divisors (see below), whose sum is σ = 23716800. Its totient is φ = 4916800.

The previous prime is 11205823. The next prime is 11205841. The reversal of 11205832 is 23850211.

It is an interprime number because it is at equal distance from previous prime (11205823) and next prime (11205841).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 357 + ... + 4747.

It is an arithmetic number, because the mean of its divisors is an integer number (741150).

Almost surely, 2^11205832 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 11205832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11858400).

11205832 is an abundant number, since it is smaller than the sum of its proper divisors (12510968).

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

11205832 is a wasteful number, since it uses less digits than its factorization.

11205832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4437 (or 4433 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 11205832 is about 3347.5113143946. The cubic root of 11205832 is about 223.7766161652.

The spelling of 11205832 in words is "eleven million, two hundred five thousand, eight hundred thirty-two".