11838032 has 40 divisors (see below), whose sum is σ = 24522240. Its totient is φ = 5523840.

The previous prime is 11838023. The next prime is 11838049. The reversal of 11838032 is 23083811.

It is a junction number, because it is equal to n+sod(n) for n = 11837992 and 11838010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13973 + ... + 14795.

It is an arithmetic number, because the mean of its divisors is an integer number (613056).

Almost surely, 2^11838032 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 11838032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12261120).

11838032 is an abundant number, since it is smaller than the sum of its proper divisors (12684208).

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

11838032 is a wasteful number, since it uses less digits than its factorization.

11838032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 11838032 is about 3440.6441257416. The cubic root of 11838032 is about 227.9081398699.

The spelling of 11838032 in words is "eleven million, eight hundred thirty-eight thousand, thirty-two".