11825632 has 96 divisors (see below), whose sum is σ = 29804544. Its totient is φ = 4492800.

The previous prime is 11825621. The next prime is 11825633. The reversal of 11825632 is 23652811.

It is a Harshad number since it is a multiple of its sum of digits (28).

Its product of digits (2880) is a multiple of the sum of its prime factors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 11825632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11825633) 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 15 ways as a sum of consecutive naturals, for example, 90207 + ... + 90337.

It is an arithmetic number, because the mean of its divisors is an integer number (310464).

Almost surely, 2^11825632 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 11825632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14902272).

11825632 is an abundant number, since it is smaller than the sum of its proper divisors (17978912).

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

11825632 is a wasteful number, since it uses less digits than its factorization.

11825632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 184 counting only the distinct ones).

The product of its digits is 2880, while the sum is 28.

The square root of 11825632 is about 3438.8416654449. The cubic root of 11825632 is about 227.8285363162.

The spelling of 11825632 in words is "eleven million, eight hundred twenty-five thousand, six hundred thirty-two".