11805792 has 48 divisors (see below), whose sum is σ = 31997952. Its totient is φ = 3807360.

The previous prime is 11805791. The next prime is 11805797. The reversal of 11805792 is 29750811.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11805791) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 993 + ... + 4959.

It is an arithmetic number, because the mean of its divisors is an integer number (666624).

Almost surely, 2^11805792 is an apocalyptic number.

11805792 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 11805792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15998976).

11805792 is an abundant number, since it is smaller than the sum of its proper divisors (20192160).

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

11805792 is a wasteful number, since it uses less digits than its factorization.

11805792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4011 (or 4003 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 33.

The square root of 11805792 is about 3435.9557622298. The cubic root of 11805792 is about 227.7010548043.

The spelling of 11805792 in words is "eleven million, eight hundred five thousand, seven hundred ninety-two".