11793536 has 32 divisors (see below), whose sum is σ = 23664000. Its totient is φ = 5854464.

The previous prime is 11793533. The next prime is 11793559. The reversal of 11793536 is 63539711.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 11793496 and 11793505.

It is not an unprimeable number, because it can be changed into a prime (11793533) 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 3 ways as a sum of consecutive naturals, for example, 25241 + ... + 25703.

It is an arithmetic number, because the mean of its divisors is an integer number (739500).

Almost surely, 2^11793536 is an apocalyptic number.

11793536 is a gapful number since it is divisible by the number (16) 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 11793536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11832000).

11793536 is an abundant number, since it is smaller than the sum of its proper divisors (11870464).

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

11793536 is an equidigital number, since it uses as much as digits as its factorization.

11793536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 664 counting only the distinct ones).

The product of its digits is 17010, while the sum is 35.

The square root of 11793536 is about 3434.1718070009. The cubic root of 11793536 is about 227.6222327484.

The spelling of 11793536 in words is "eleven million, seven hundred ninety-three thousand, five hundred thirty-six".