11133792 has 72 divisors (see below), whose sum is σ = 32189976. Its totient is φ = 3649536.

The previous prime is 11133779. The next prime is 11133797. The reversal of 11133792 is 29733111.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×11133792² = 247922648598528, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11133797) 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 11 ways as a sum of consecutive naturals, for example, 19008 + ... + 19584.

It is an arithmetic number, because the mean of its divisors is an integer number (447083).

Almost surely, 2^11133792 is an apocalyptic number.

11133792 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 11133792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16094988).

11133792 is an abundant number, since it is smaller than the sum of its proper divisors (21056184).

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

11133792 is a wasteful number, since it uses less digits than its factorization.

11133792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 649 counting only the distinct ones).

The product of its digits is 1134, while the sum is 27.

The square root of 11133792 is about 3336.7337322597. The cubic root of 11133792 is about 223.2960468432.

The spelling of 11133792 in words is "eleven million, one hundred thirty-three thousand, seven hundred ninety-two".