11264832 has 140 divisors (see below), whose sum is σ = 34852356. Its totient is φ = 3594240.

The previous prime is 11264783. The next prime is 11264861. The reversal of 11264832 is 23846211.

11264832 is a `hidden beast` number, since 1 + 12 + 648 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3779136 + 7485696 = 1944^2 + 2736^2 .

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

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 = 11264796 and 11264805.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 212518 + ... + 212570.

Almost surely, 2^11264832 is an apocalyptic number.

11264832 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 11264832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17426178).

11264832 is an abundant number, since it is smaller than the sum of its proper divisors (23587524).

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

11264832 is an equidigital number, since it uses as much as digits as its factorization.

11264832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 99 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 11264832 is about 3356.3122619923. The cubic root of 11264832 is about 224.1686654849.

The spelling of 11264832 in words is "eleven million, two hundred sixty-four thousand, eight hundred thirty-two".