11825792 has 64 divisors (see below), whose sum is σ = 26511840. Its totient is φ = 5207040.

The previous prime is 11825791. The next prime is 11825797. The reversal of 11825792 is 29752811.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (11825791) 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, 51983 + ... + 52209.

Almost surely, 2^11825792 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 11825792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13255920).

11825792 is an abundant number, since it is smaller than the sum of its proper divisors (14686048).

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

11825792 is a wasteful number, since it uses less digits than its factorization.

11825792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 277 counting only the distinct ones).

The product of its digits is 10080, while the sum is 35.

The square root of 11825792 is about 3438.8649290136. The cubic root of 11825792 is about 227.8295638131.

The spelling of 11825792 in words is "eleven million, eight hundred twenty-five thousand, seven hundred ninety-two".